**Best Reference Books on Quantum Mechanics**, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of

**Quantum Mechanics Books**with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Quantum Mechanics below.

## 1. Quantum Mechanics

1."Quantum Mechanics" by E Merzbacher
“Quantum Mechanics” Book Review: This book is a comprehensive textbook on quantum mechanics for advanced undergraduate and graduate students. The book covers topics such as wave-particle duality, the Schrodinger equation, time-independent and time-dependent perturbation theory, quantum mechanics of angular momentum, and the theory of scattering. The book also delves into more advanced topics such as quantization of the electromagnetic field, quantum optics, and the quantum theory of solids. The book is well-organized and provides clear explanations of complex topics, making it a valuable resource for students and researchers in the field of quantum mechanics.
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2."A Text book of Quantum Mechanics" by P M Mathews and K Venkatesan
“A Text book of Quantum Mechanics” Book Review: The book is a comprehensive guide to quantum mechanics for undergraduate and graduate students in physics. The book covers topics such as wave-particle duality, quantization of energy, matrix mechanics, angular momentum, and perturbation theory. It also includes discussions on the Dirac equation, identical particles, and the many-body problem. The authors provide clear explanations, numerous worked examples, and exercises to help students understand the subject. This textbook is an ideal resource for those seeking to master the fundamental concepts of quantum mechanics.
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3."Quantum Mechanics" by A Messiah
“Quantum Mechanics” Book Review: This is a comprehensive textbook on quantum mechanics. The book is divided into three volumes. The first volume covers topics like wave mechanics, the hydrogen atom, and the harmonic oscillator. The second volume discusses the theory of angular momentum, approximation methods, and scattering theory. The third volume covers topics like relativistic wave equations, field quantization, and quantum electrodynamics. The book provides a thorough treatment of the subject matter and is a valuable resource for students and researchers in the field of physics.
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4."Quantum Mechanics" by L Landau and E Lifshitz | |

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5."Introduction to Quantum Mechanics" by J Griffiths David
“Introduction to Quantum Mechanics” Book Review: This is an easy-to-understand beginner’s guide to quantum mechanics that covers basic concepts in the first five chapters, followed by a description of its various applications. The book is divided into two sections with the first covering wave functions, quantum mechanics in three dimensions, and other related topics. The second section deals with time-dependent and independent perturbation theory, among other topics. The book provides clear explanations of the applications and includes helpful diagrams. The mathematical equations presented are easy to follow, and there are practice problems provided with hints for further learning.
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6."Quantum Mechanics: Concepts and Applications" by Nouredine Zettili
“Quantum Mechanics: Concepts and Applications” Book Review: The book presents a unique and lucid perspective on the subject matter. Its innovative approach covers both practical and theoretical aspects of the topic, commencing with a description of the experimental basis and proceeding to the mathematical tools. It delves into the foundations of the subject, incorporating Schrodinger equations for one and three-dimensional potentials. The book encompasses time-dependent and independent approximation methods, as well as the theory of scattering. Furthermore, it provides a range of solved and unsolved questions to aid comprehension, and a solution manual is available in the new edition. This book is appropriate for both undergraduate and graduate courses.
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7."Quantum Mechanics" by Aruldhas G | |

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8."Quantum Mechanics: The Theoretical Minimum" by Leonard Susskind and Art Friedman | |

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9."Quantum Mechanics: A Textbook for Undergraduates" by Jain Mahesh C
“Quantum Mechanics: A Textbook for Undergraduates” Book Review: This book serves as a guide for newcomers to the field of quantum mechanics. It acts as an intermediary between modern physics books that are either too extensive or too limited in scope. The book commences with an introduction to Planck’s quantum hypothesis, explained in a simple manner. It encompasses essential quantum concepts and fundamental mathematical structures, which are elucidated through multiple examples. Each chapter concludes with review questions and exercises designed to align with examination patterns. At the end of every chapter, there are summaries available. The book is suitable for physics and chemistry students as well as first-year engineering students from all branches.
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10."Quantum Mechanics" by B H Bransden
“Quantum Mechanics” Book Review: This book provides a comprehensive introduction to quantum mechanics for advanced undergraduate and graduate students. The book covers the mathematical foundations of quantum theory, including wave mechanics, operators, and eigenvalues. It then delves into more advanced topics, such as angular momentum, scattering theory, and relativistic quantum mechanics. The authors also include discussions on modern applications of quantum mechanics, including quantum computing and quantum field theory. The book is well-organized, with clear explanations and numerous worked examples, making it a valuable resource for students and researchers alike.
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11."Principles of Quantum Mechanics" by R Shankar
“Principles of Quantum Mechanics” Book Review: This book provides an introduction to the fundamental concepts of quantum mechanics, covering a total of 21 chapters. The major topics include a mathematical introduction, a review of classical mechanics, the postulates of quantum mechanics, simple problems in one dimension, and the classical limit. Additionally, the book covers other essential subjects such as the harmonic oscillator, the path integral formulation of quantum theory, and the Heisenberg uncertainty relation. Each chapter concludes with additional theorems and problems to enhance students’ understanding, and all equations and figures are thoroughly labelled. This book is ideal for students pursuing mechanical engineering or applied physics.
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12."Quantum Mechanics in Simple Matrix Forms (Dover Books on Physics)" by Thomas F Jordan
“Quantum Mechanics in Simple Matrix Forms (Dover Books on Physics)” Book Review: This book is intended for advanced undergraduate and graduate students in mathematics, as well as those studying physics and engineering. The content covers topics such as wave mechanics and matrix mechanics, as well as an introduction to key concepts in quantum mechanics, including complex numbers, matrix algebra, and probability. Later sections focus specifically on The Principles of Quantum Mechanics (International Series of Monographs on Physics), while the book as a whole offers over 100 problem-solving exercises. Overall, this text provides a straightforward and accessible approach to learning the language of quantum mechanics and applying it to real-world problem solving.
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13."Quantum Mechanics for Scientists and Engineers" by David A B Miller
“Quantum Mechanics for Scientists and Engineers” Book Review: This book is an ideal introduction to quantum mechanics for students and professionals in the field. The book covers a broad range of topics, including wave-particle duality, the Schrödinger equation, angular momentum, and the hydrogen atom. It also discusses the principles of quantum mechanics in the context of modern technology, such as quantum cryptography and quantum computing. The author’s clear and concise writing style, along with numerous examples and exercises, make this book a valuable resource for anyone seeking to understand quantum mechanics.
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14."A Modern Approach to Quantum Mechanics" by John Townsend
“A Modern Approach to Quantum Mechanics” Book Review: This book is intended for upper-division courses in quantum mechanics and explores the fundamentals of the subject through the physics of intrinsic spin. It covers essential concepts such as Dirac notation, operators, eigenstates, and eigenvalues, as well as topics like time evolution, entanglement, and traditional subjects in wave mechanics, including the Schrodinger equation in position space, harmonic oscillator, orbital angular momentum, and central potentials. Additionally, the book delves into perturbation theory, identical particles, scattering, and other related areas. The revised edition of the book comes with worked examples and end-of-chapter problems to help students gain a thorough understanding of quantum mechanics.
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## 2. Atomic and Molecular Relativistic Quantum Mechanic

1."Quantum Mechanics of One and Two-electron Atoms" by H A Betne and E E Salpeter
“Quantum Mechanics of One and Two-electron Atoms” Book Review: This book offers an extensive coverage of modern physics topics such as hydrogen and helium atom calculations, quantum mechanics applications, and more. The writing style of the book is clear, and the concepts are illustrated with physical diagrams. The book delves into the exploration of the Dirac theory of the electron and its radiative effects in great detail, with relevant experiments. Moreover, the author describes the particular application of atomic systems and general field-theoretic results. This book serves as a valuable reference for both students and professionals alike.
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2."Quantum Mechanics Vol. II" by A Messiah | |

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3."Lectures on Quantum Mechanics" by G Baym
“Lectures on Quantum Mechanics” Book Review: In this book, readers will find crucial topics such as wave mechanics, wave treatment, and relativistic one-particle mechanics, among others. The author advises readers to have a firm understanding of elementary quantum mechanics, the uncertainty principle, and the concept of a wave function prior to delving into this book. Detailed examples are provided to aid in comprehending these concepts. The format of the book is akin to lecture notes, and it offers a thorough examination of topics like scattering theory and perturbative techniques. PG and PhD students in Quantum Mechanics will find this book to be a valuable resource.
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4."Relativistic Quantum Mechanics: An Introduction to Relativistic Quantum Fields" by Nicola Cabibbo and Luciano Maiani
“Relativistic Quantum Mechanics: An Introduction to Relativistic Quantum Fields” Book Review: The book commences with a comprehensive overview of relativity, mechanics, and Lagrangian theory. It is highly recommended that readers have a solid understanding of classical mechanics, quantum mechanics, and relativity prior to delving into this text. The book is accompanied by numerous illustrative examples that demonstrate the practical application of physical processes. Additionally, advanced topics such as the quantization of electromagnetic fields and the Dirac equation are presented in a clear and understandable manner. The book is written in a lucid style and will prove to be a valuable resource for students and researchers working in the field of elementary particle physics.
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5."Quantum Physics of Light and Matter: Photons, Atoms, and Strongly Correlated Systems" by Luca Salasnich
“Quantum Physics of Light and Matter: Photons, Atoms, and Strongly Correlated Systems” Book Review: The book commences by providing an overview of the quantization of light and matter in the field, which is then applied to atomic physics and strongly correlated systems. Each chapter of this book contains a plethora of solved problems that aid in comprehending the subject matter. The text delves into important subjects such as superfluidity, superconductivity, and non-relativistic matter field quantization in great detail. Moreover, this book covers more advanced concepts such as the finite-temperature functional integration of bosonic and fermionic fields for the study of macroscopic quantum phenomena. It serves as a valuable resource for the quantum physics topic, specifically for the Photons and matter subtopics.
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6."Relativistic Quantum Mechanics (Theoretical and Mathematical Physics)" by Hartmut Pilkuhn
“Familiar topics like orbital angular momentum, spin-orbit coupling and magnetic moment are taken up in detail.” Book Review: The book commences by elucidating the relativistic foundation, employing the superposition principle, Lorentz invariance, and gauge invariance, and accompanied by illustrative diagrams. Furthermore, the book comprehensively examines familiar subjects such as orbital angular momentum, spin-orbit coupling, and magnetic moment. In addition, special cases in Nonrelativistic quantum mechanics and classical relativistic mechanics are discussed, making it an engaging read for Quantum Mechanics students. Finally, the book covers Orthonormality and expectation value, and Coulomb Green’s functions.
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7."Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics" by Walter Greiner and B Müller
“Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics” Book Review: The book commences by introducing a variety of intriguing concepts such as charged vacuum, superheavy quasi-molecules, nuclear sticking, and pion condensation. Biographical notes are provided at the end of each chapter. Furthermore, the book delves into topics such as Hole Theory, Klein Paradox, Quantum Electrodynamics of weak fields, Evolution of vacuum state, and vacuum polarization in a clear and concise manner. In order to facilitate a deeper understanding of the concepts, the book includes a plethora of illustrations. Additionally, experimental confirmations and their associated applications are mentioned when appropriate. Overall, this book is a valuable resource for anyone studying Theoretical and Mathematical Quantum Physics.
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8."Gauge Theories in Particle Physics: A Practical Introduction, Volume 1: From Relativistic Quantum Mechanics to QED" by Ian J R Aitchison and Anthony J G Hey
“Gauge Theories in Particle Physics: A Practical Introduction, Volume 1” Book Review: This book offers a pragmatic overview of the primary gauge theory of quantum electrodynamics, along with a foundational introduction to quantum field theory. Through both theoretical and practical calculations of quantum principles, readers can improve their understanding of quantum electrodynamics. Additionally, a dedicated chapter on Lorentz transformations and discrete symmetries of quantum mechanics is included. The book also lays the groundwork for trending topics such as Majorana fermions and nucleon structure functions in relativistic quantum mechanics. This book is an ideal resource for gaining practical knowledge in quantum mechanics.
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9."Relativistic Quantum Theory of Atoms and Molecules: Theory and Computation (Springer Series on Atomic, Optical, and Plasma Physics)" by Ian P Grant
“Relativistic Quantum Theory of Atoms and Molecules” Book Review: The book commences by covering the fundamental principles of quantum electrodynamics, molecular structure, and numerical algorithms. It provides a comprehensive explanation of relativistic atomic structures. Moreover, it sheds light on recent advancements in the field, such as relativistic molecular structure, the relativistic model for heavy elements, and atomic clusters. The book is presented in a well-organized manner, making it easy to comprehend. It is an excellent resource for both atomic-physics students and research scientists, offering valuable insights.
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## 3. Advanced Quantum Physics

1."Quantam Mechanics and Path Integrals (Dover Books on Physics)" by Richard P Feynman and A R Hibbs
“Quantam Mechanics and Path Integrals (Dover Books on Physics)” Book Review: This book serves as a comprehensive guide to path integrals, their techniques, and their applications in modern physics theory. It strikes a delicate balance between mathematical rigor and physical insight, while emphasizing practical applications. Its coverage spans topics such as quantum mechanics, perturbation methods, electrodynamics, and statistical mechanics. Whether you are a student or a professional in the field of physics, this book is an invaluable resource for enhancing your knowledge and skills.
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2."Lectures on Quantum Mechanics (Dover Books on Physics)" by Paul A M Dirac
“Lectures on Quantum Mechanics (Dover Books on Physics)” Book Review: This book is designed for physics and chemistry students and covers mathematical methods and quantum mechanics of atoms. It includes a range of topics, such as the quantum theory of radiation, transformation theory, and Fermi-Dirac statistics. Additionally, it covers important concepts like the Hamilton method, quantization, relativistic quantum theory, and Born-Infeld electrodynamics.
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3."Quantum Mechanics: From Basic Principles to Numerical Methods and Applications (Advanced Texts in Physics)" by Louis Marchildon
“Quantum Mechanics: From Basic Principles to Numerical Methods and Applications (Advanced Texts in Physics)” Book Review: This book provides an in-depth treatment of quantum mechanics, from fundamental principles to numerical methods and applications. The book is divided into four parts, covering principles, applications, numerical methods, and advanced topics. Topics include the Schrödinger equation, the hydrogen atom, angular momentum, the harmonic oscillator, perturbation theory, scattering theory, quantum mechanics of identical particles, density functional theory, and more. The book also includes numerous exercises and numerical examples to reinforce understanding of the material. This book is a useful resource for advanced undergraduate and graduate students, as well as researchers in the field of quantum mechanics.
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4."Topics in Advanced Quantum Mechanics (Dover Books on Physics)" by Barry R Holstein
“Topics in Advanced Quantum Mechanics (Dover Books on Physics)” Book Review: This book is a valuable resource for quantum mechanics students as it comprehensively covers non-relativistic techniques, Feynman diagrams, and electromagnetic applications. It delves into essential topics such as propagator methods, scattering theory, and particle interactions, while also addressing advanced topics like the Klein Gordon and Dirac equations. Overall, this text provides a thorough treatment of the subject matter.
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5."Quantum Mechanics: A Modern and Concise Introductory Course (Advanced Texts in Physics)" by Daniel R Bes
“Quantum Mechanics: A Modern and Concise Introductory Course (Advanced Texts in Physics)” Book Review: This book is a comprehensive text for undergraduate and graduate courses in quantum mechanics. The book covers essential topics such as wave-particle duality, the Schrödinger equation, quantum states, operators, and measurement theory. The author emphasizes the importance of visualization in understanding quantum mechanics and provides visual aids to help readers grasp challenging concepts. The book also includes a chapter on relativistic quantum mechanics, making it an excellent resource for students of both physics and engineering. Overall, it is a well-written and comprehensive text for those interested in learning about quantum mechanics.
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6."Advanced Quantum Mechanics: A Practical Guide" by Yuli V Nazarov
“Advanced Quantum Mechanics: A Practical Guide” Book Review: This book is intended for graduate-level students in physics, and covers both practical applications and theoretical techniques. It includes several case studies with solved problems and covers condensed matter physics with a focus on Maxwell’s equations. Additionally, the book provides information on topics such as electromagnetic waves, photons, coherent states, and photon emissions.
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7."Advanced Quantum Mechanics: Materials and Photons (Graduate Texts in Physics)" by Rainer Dick
“Advanced Quantum Mechanics: Materials and Photons (Graduate Texts in Physics)” Book Review: This book is aimed at graduate and undergraduate students in natural sciences and engineering, and covers several chapters of quantum mechanics. It explains various techniques for photon absorption, emissions, and scattering, and also touches on topics like Lagrangian mechanics and the formulation of electrodynamics. In addition, the book provides information on transition amplitudes, classical field theory, and canonical field quantization, while describing concepts such as transition probabilities, decay rates, and cross sections.
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8."Quantum Theory of Many-Body Systems: Techniques and Applications (Graduate Texts in Physics)" by Alexandre Zagoskin
“Quantum Theory of Many-Body Systems: Techniques and Applications (Graduate Texts in Physics)” Book Review: This book serves as a comprehensive guide for graduate students interested in physics, covering the mathematical formalism of quasiparticles and Green’s functions. The concepts are supported by numerous diagrams, which aid in understanding superconducting systems and zero temperature perturbation theory. Additionally, the book delves into path integrals, bosonization, and conformal field theory. Moreover, mesoscopic physics examples are provided, making it a valuable reference for those looking to expand their knowledge in the field.
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9."Theoretical Physics (Dover Books on Physics)" by Georg Joos and Ira M Freeman
“Theoretical Physics (Dover Books on Physics)” Book Review: This text incorporates various branches of physics with diverse appendices and exercises, encompassing electrodynamic, thermodynamics, and kinetic theory. Additionally, it includes nuclear physics along with quantum mechanics as well. The book serves as a comprehensive guide for both graduate and undergraduate students pursuing experimental physics. It covers crucial topics such as bessel functions, spherical harmonics, superconductivity, and elastomers. Calculus variations, complex variables, and fluid mechanics are also discussed in this book.
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10."Principles of Advanced Mathematical Physics (Theoretical and Mathematical Physics)" by Robert D Richtmyer
“Principles of Advanced Mathematical Physics (Theoretical and Mathematical Physics)” Book Review: The book’s focus is on mathematical theorems and electron systems. It explains the atoms of electrons and ionic structures while also highlighting the texture of physical reasoning. The text covers various branches of contemporary mathematics with its applications, including Hilbert and Banach spaces with functional analysis.
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11."Green's Functions in Quantum Physics (Springer Series in Solid-State Sciences)" by Eleftherios N Economou
“Green’s Functions in Quantum Physics (Springer Series in Solid-State Sciences (7)) 3rd Edition” Book Review: This is a comprehensive guide to the use of Green’s functions in quantum physics. The book covers topics such as scattering theory, many-body theory, and the response of quantum systems to external fields. The author discusses the applications of Green’s functions in solid-state physics and the theory of superconductivity. Other topics include the quantum theory of radiation and the use of Green’s functions in relativistic quantum mechanics. The book provides a thorough introduction to the use of Green’s functions in quantum physics and is an essential resource for researchers and graduate students in the field.
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12."Path Integral Approach to Quantum Physics: An Introduction" by Gert Roepstorff
“Path Integral Approach to Quantum Physics: An Introduction” Book Review: This book is intended for graduate students and offers an explanation of the path integral approach to quantum physics, as well as the functional integration method of contemporary physics. Additionally, the book addresses conceptual problems related to the path integral formalism and provides information on the relationship between stochastic processes, statistical physics, and quantum mechanics. It covers methods of fundamental interest in detail and includes important physical examples.
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13."On the Device-Independent Approach to Quantum Physics: Advances in Quantum Nonlocality and Multipartite Entanglement Detection (Springer Theses)" by Jean-Daniel Bancal
“On the Device-Independent Approach to Quantum Physics: Advances in Quantum Nonlocality and Multipartite Entanglement Detection (Springer Theses)” Book Review: The book explores new approach that utilizes the potent geometric tool of polytopes, with a particular focus on examining non-locality in scenarios involving three or more parties. The authors reveal that such cases exhibit a diverse array of phenomena compared to the simpler two-party case. Additionally, the book conducts a pioneering investigation of genuine multipartite entanglement within the device-independent framework. Ultimately, the book leverages these tools to provide an answer to a long-standing question: is it possible for quantum non-locality to be attributed to concealed influences that propagate faster than the speed of light between parties, without enabling faster-than-light communication?
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14."Advances in the Interplay Between Quantum and Gravity Physics (Nato Science Series II:)" by Peter G Bergmann and V de Sabbata
“Advances in the Interplay Between Quantum and Gravity Physics (Nato Science Series II:)” Book Review: This book presents a unique perspective on the impact of gravity on quantum systems. It delves into the interaction between gravity and quantum systems, spanning from celestial observations of the early universe to earthly experiments utilizing atom interferometry to investigate the structure of reference frames. The book covers various topics, such as the quantum field and the horizon of a part, black holes, physical science, entropy, quantum information, quantum black holes, quantum evaporation, and Hawking radiation. Additionally, the book discusses recent advancements in stochastic gravity, as well as the intricate relationship between reference frames and matter, which poses a challenge for the quantization of the theory of relativity. Canonical gravity, Mach’s principle, torsion and curvature, and Dirac’s mathematics of real reference frame are also examined. Finally, the book delves into the matter of 5-Dimensional Projective Unified theory, dimensional gravity, and cosmology.
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