We have compiled the list of Best Reference Books on Quantum Mechanics subject. These books are used by students of top universities, institutes and colleges. Here is the full list of best books on Quantum Mechanics along with reviews.
Kindly note that we have put a lot of effort into researching the best books on Quantum Mechanics subject and came out with a recommended list of best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on “Quantum Mechanics” as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.
List of Quantum Mechanics Books with author’s names, publishers, and an unbiased review as well as links to the Amazon website to directly purchase these books.
1. Quantum Mechanics
1. “Quantum Mechanics” by E Merzbacher
“Quantum Mechanics” Book Review: It is a mindfully designed book for quantum mechanics. The book properly covers all important areas of the subject. It also describes the connections of various phenomena and subfields of physics.


2. “A Text book of Quantum Mechanics” by P M Mathews and K Venkatesan
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“A Text book of Quantum Mechanics” Book Review: The book covers the new and latest quantum phenomena. The book is detailed and easy to understand. Examples, diagrams and tables help in better understanding of the topics.


3. “Quantum Mechanics” by A Messiah
“Quantum Mechanics” Book Review: It is a mindfully designed book for quantum mechanics. The book properly covers all important areas of the subject. It also describes the connections of various phenomena and subfields of physics.


4. “Quantum Mechanics” by L Landau and E Lifshitz  
5. “Introduction to Quantum Mechanics” by J Griffiths David
“Introduction to Quantum Mechanics” Book Review: It is an introductory handbook for quantum mechanics. The language of the book is easy to understand. Basic concepts are covered in the first five chapters. Applications of quantum mechanics are described later. Two sections of chapters are present. First section has wave functions, quantum mechanics in three dimensions etc. Second section has topics like time dependent and independent perturbation theory etc. The book has properly explained applications. Diagrams are illustrative. Mathematical equations in the book are easy to understand. Problems are provided for practice with hints.


6. “Quantum Mechanics: Concepts and Applications” by Nouredine Zettili
“Quantum Mechanics: Concepts and Applications” Book Review: The book gives a fresh and clear idea of the subject. The approach of the book is novel. It covers practical and theoretical elements of the subject. The book initially describes experimental basis. It later moves on to mathematical tools. The book also deals with foundations of the subject. Schrodinger equations for one and three dimensional potentials are in the book. The book includes time dependent and independent approximation methods. The theory of scattering is also included. The book has solved and unsolved questions for understanding. A solution manual is available in the new edition. The book is suitable for undergraduate and graduate courses.


7. “Quantum Mechanics” by Aruldhas G  
8. “Quantum Mechanics: The Theoretical Minimum” by Leonard Susskind and Art Friedman  
9. “Quantum Mechanics: A Textbook for Undergraduates” by Jain Mahesh C
“Quantum Mechanics: A Textbook for Undergraduates” Book Review: This book is for the freshers in the field of quantum mechanics. It acts as a bridge between the comprehensive and the restricted books of modern physics. The book begins with Planck’s quantum hypothesis. The descriptions are easy. They cover core quantum concepts and basic mathematical structures. These are explained by numerous examples. Chapters end with exercises and review questions. They are designed according to examination patterns. Summaries are provided at the end of each chapter. The book can be used by students of physics and chemistry. It can be used by first year students of all engineering branches.
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10. “Quantum Mechanics” by B H Bransden
“Quantum Mechanics” Book Review: It is a mindfully designed book for quantum mechanics. The book properly covers all important areas of the subject. It also describes the connections of various phenomena and subfields of physics.


11. “Principles of Quantum Mechanics” by R Shankar
“Principles of Quantum Mechanics” Book Review: This book discusses the basic principles of quantum mechanics. Major chapters added are mathematical introduction, review of classical mechanics, the postulates, simple problems in one dimension, the classical limit. Other topics included are the harmonic oscillator, the path integral formulation of quantum theory, the Heisenberg uncertainty relation. Extra theorems and problems are added at the end of every chapter for students’ understanding. All the equations and figures are labelled in detail. A total of 21 chapters are covered in this book. students studying mechanical engineering or applied physics can use this book.


12. “Quantum Mechanics in Simple Matrix Forms (Dover Books on Physics)” by Thomas F Jordan
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“Quantum Mechanics in Simple Matrix Forms (Dover Books on Physics)” Book Review: This book is designed for advanced undergraduate and graduate mathematics students. Also for students of physics, and engineering. It includes wave mechanics and matrix mechanics. It also includes a simple introduction to quantum mechanics, complex numbers, matrix algebra, and probability. Later it focuses on The Principles of Quantum Mechanics (International Series of Monographs on Physics). The book contains more than 100 problems. It provides an easy way to learn part of the quantum language and to employ this new skill in solving problems.


13. “Quantum Mechanics for Scientists and Engineers” by David A B Miller
“Quantum Mechanics for Scientists and Engineers” Book Review: This book relates the core principles of quantum mechanics to practical applications. This book is useful in the field of engineering, science and nanotechnology. This is an introductory level book for physicists and engineers. This is a standard reference book for quantum mechanics for undergraduate and postgraduate students.


14. “A Modern Approach to Quantum Mechanics” by John Townsend
“A Modern Approach to Quantum Mechanics” Book Review: This book discusses the foundations of quantum mechanics with the help of physics of intrinsic spin. This book is designed for the upperdivision courses in quantum mechanics. The book provides basic concepts on Dirac notation, operators, eigenstates and eigenvalues. It also discusses time evolution in quantum mechanics and entanglement. The book contains chapters on the traditional subjects in wave mechanics such as the Schrodinger equation in position space. It also includes the harmonic oscillator, orbital angular momentum and central potentials. The book also contains a chapter on perturbation theory, identical particles, scattering, etc,. The book will impart students with the knowledge of important aspects of quantum mechanics. The updated book contains worked examples and end of chapter problems.


2. Atomic and Molecular Relativistic Quantum Mechanic
1. “Quantum Mechanics of One and Twoelectron Atoms” by H A Betne and E E Salpeter
“Quantum Mechanics of One and Twoelectron Atoms” Book Review: This book covers topics in modern physics like calculations on hydrogen and helium atoms, application of quantum mechanics and many more. The book has a clear writing style. The concepts are also explained with physical pictures. Topics like explorations of the Dirac theory of the electron and its radiative effects are taken up in detail with relative experiments. The author also describes the specific application of atomic systems and general fieldtheoretic results. This book is a good source of reference for students and professionals.


2. “Quantum Mechanics Vol. II” by A Messiah  
3. “Lectures on Quantum Mechanics” by G Baym
“Lectures on Quantum Mechanics” Book Review: This book covers essential topics like wave mechanics, wave treatment, relativistic oneparticle mechanics and many more. The author suggests to have knowledge of concepts like elementary quantum mechanics, the uncertainty principle and the concept of a wave function before reading this book. This book has many examples to explain the concepts in detail. This book is written in the lecture notes taking format. Topics like scattering theory and perturbative techniques are taken up in detail. This book is a useful reference for PG and PhD students in Quantum Mechanics.


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: This book starts with a review of relativity, mechanics, and Lagrangian theory. Before reading this book, the reader should know classical mechanics, quantum mechanics, and relativity. This book has illustrative examples to explain the application of physical processes. Advanced topics like quantization of the electromagnetic fields and Dirac equation are explained undoubtedly. This book has a lucid presentation. Students and researchers in the field of elementary particle physics will find this helpful.


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 starts with an introduction to the field quantization of light and matter with applications to atomic physics and strongly correlated systems. This book has plenty of solved problems at every chapterend to get a better understanding. Crucial topics like superfluidity, superconductivity and quantization of the nonrelativistic matter field are taken up in detail. This book introduces advanced concepts like finitetemperature functional integration of bosonic and fermionic fields for the study of macroscopic quantum phenomena. This book is a useful reference for the quantum physics subject, especially for Photons and matter subtopics.


6. “Relativistic Quantum Mechanics (Theoretical and Mathematical Physics)” by Hartmut Pilkuhn
“Familiar topics like orbital angular momentum, spinorbit coupling and magnetic moment are taken up in detail.” Book Review: The book starts with explaining relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. This book illustrates the concepts diagrammatically. Familiar topics like orbital angular momentum, spinorbit coupling and magnetic moment are taken up in detail. Special cases in Nonrelativistic quantum mechanics and classical relativistic mechanics are discussed in this book. This book will provide an engaging reading experience to the Quantum Mechanics students. In the end, Orthonormality and expectation value and Coulomb Green’s functions are provided.


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: This book starts with an introduction to charged vacuum, superheavy quasimolecules, nuclear sticking, pion condensation and many more. Biographical Notes are mentioned at every chapterend. Topics like Hole Theory, Klein Paradox, Quantum Electrodynamics of weak fields, Evolution of vacuum state, vacuum polarization are explained clearly. This book is filled with illustrations to explain the concepts deeply. Experimental confirmations and their related applications are mentioned wherever needed. This book is a useful reference for Theoretical and Mathematical Quantum Physics.


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 provides a practical introduction to the first gauge theory of quantum electrodynamics and foundational introduction to quantum field theory. Theoretical and practical calculations of quantum principles help to improve their knowledge of quantum electrodynamics. This book has a dedicated chapter on Lorentz transformations and discrete symmetries of quantum mechanics. This book also sows the seed for recent trending topics like Majorana fermions, nucleon structure functions in relativistic quantum mechanics. This book will provide good practical knowledge in Quantum mechanics.


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: This book starts with quantum electrodynamics foundation, molecular structure, and numerical algorithms. The topics like relativistic atomic structures are explained in detail. Recently developed topics like relativistic molecular structure, the relativistic model for heavy elements, atomic clusters are elaborated. This book has a neat presentation. This book provides useful information to atomicphysics students and research scientists.


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 introduces path integrals, it’s techniques and modern physics theory. This book highlights a mathematical and physical balance. Useful applications are mentioned here. It covers topics on quantum mechanics, perturbation method, electrodynamics and statistical mechanics. This book acts as a guide for physics courses and professionals.


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 covers mathematical methods and quantum mechanics of atoms. It includes quantum theory of radiation, transformation theory and fermidirac statistics. Topics such as hamilton method, quantization, relativistic quantum theory and born infeld electrodynamics. It is suitable for physics and chemistry students.


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 includes numerical method and group theory presentation. It covers use of operators, functional integral and applications in approximation. Different experiments are present in the book. This book consists of different exercises, solved problems and references.


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 beneficial for the students of quantum mechanics. The book covers non relativistic techniques with full treatment. It provides information on feynman diagrams and electromagnetic applications. The book includes topics such as propagator methods, scattering theory and particle interactions. Other topics like Klein Gordon and Dirac equations are covered in this text.


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 introduces principles of quantum mechanics with wave equation derivations. It describes spin waves and how it presents mechanical concepts of entanglement and decoherence. This book explains cryptography, teleportation and quantum computation.


6. “Advanced Quantum Mechanics: A Practical Guide” by Yuli V Nazarov
“Advanced Quantum Mechanics: A Practical Guide” Book Review: This book is basically for the graduate level students in physics. It contains practical applications and describes the theoretical techniques. Various case studies are highlighted in this book with solved problems. The book provides condensed matter physics with Maxwell’s equations. Information on electromagnetic, photons, coherent states and emissions of photons are discussed in the book.


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 explains the techniques for photon absorption, emissions and scattering. Many chapters of quantum mechanics are covered in this text. It is designed for the graduate and undergraduate students of natural sciences and engineering. The book mentions topics such as lagrangian mechanics and formulation of electrodynamics. It provides transition amplitudes, classical field theory and canonical field quantization. It describes the transition probabilities, decay rates and cross sections.


8. “Quantum Theory of ManyBody Systems: Techniques and Applications (Graduate Texts in Physics)” by Alexandre Zagoskin
“Quantum Theory of ManyBody Systems: Techniques and Applications (Graduate Texts in Physics)” Book Review: This book provides the mathematical formalism of quasiparticles and Green’s functions. Many diagrams are illustrated in this book to explain superconducting systems and zero temperature perturbation theory. The book describes path integrals, bosonization and conformal field theory. It acts as a reference for the graduate students interested in physics. Examples of mesoscopic physics are covered in this book.


9. “Theoretical Physics (Dover Books on Physics)” by Georg Joos and Ira M Freeman
“Theoretical Physics (Dover Books on Physics)” Book Review: It includes the branches of physics with different appendices and exercises. It covers electrodynamic, thermodynamics and kinetic theory. Nuclear physics with quantum mechanics are also provided in this text. It acts as a guide for the graduate and undergraduate students engaged in experimental physics. Important topics such as bessel functions, spherical harmonics, superconductivity and elastomers are discussed. This book contains calculus variations, complex variable and fluid mechanics.


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: This book focuses on the mathematical theorems and electron systems. It explains the electron atoms and ionic structures. The book mentions the texture of physical reasoning. Different branches of contemporary mathematics with its applications are covered in this text. It includes Hilbert and Banach spaces with functional analysis.


11. “Green’s Functions in Quantum Physics (Springer Series in SolidState Sciences)” by Eleftherios N Economou
“Green’s Functions in Quantum Physics (Springer Series in SolidState Sciences (7)) 3rd Edition” Book Review: This is an advanced level text. This will be helpful for students who want to understand the method of Green’s function for obtaining solutions in quantum physics.


12. “Path Integral Approach to Quantum Physics: An Introduction” by Gert Roepstorff
“Path Integral Approach to Quantum Physics: An Introduction” Book Review: This book explains the path integral approach to quantum physics. The book is designed for graduate students. The book also explains the functional integration method of contemporary physics. The book discusses the conceptual problems related to path integral formalism. It also gives information regarding the relationship between stochastic processes, statistical physics and quantum mechanics. The book contains methods of fundamental interest amply. It also contains important physical examples.


13. “On the DeviceIndependent Approach to Quantum Physics: Advances in Quantum Nonlocality and Multipartite Entanglement Detection (Springer Theses)” by JeanDaniel Bancal
“On the DeviceIndependent Approach to Quantum Physics: Advances in Quantum Nonlocality and Multipartite Entanglement Detection (Springer Theses)” Book Review: The book explores the new approach using the powerful geometrical tool of polytopes. Emphasis is placed on the study of nonlocality in the case of three or more parties, where it is shown that a whole new variety of phenomena appear compared to the bipartite case. Genuine multipartite entanglement is also studied for the first time within the deviceindependent framework. Finally, these tools are used to answer a longstanding open question: could quantum nonlocality be explained by influences that propagate from one party to the others faster than light, but that remain hidden so that one cannot use them to communicate faster than light.


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 provides a completely different aspect of the influence of gravity on quantum systems. The interaction between gravity and quantum systems ranging from matters within the early universe supported uranology observations, up to the mortal primarily based experiments with atom interferometry for searching the structure of reference frames has been reinforced. There are contents related to the quantum field and horizon of a part as well. The matter of black holes, physical science and entropy, quantum data, quantum black holes, quantum evaporation and Hawking radiation, recent advances in stochastic gravity are also discussed. The philosophical system between reference frame and matter has been deeply analyzed to envision why, for the theory of relativity, this can be an obstacle for quantisation of the speculation. Conjointly Canonical Gravity and Mach’s principle, torsion and curvature and Dirac pure mathematics of real reference frame are also analysed, in conjunction with the matter of 5Dimensional Projective Unified theory and dimensional Gravity and Cosmology.


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