Lecture Notes
Quantum Mechanics
Lecture Notes
Non-Relativistic Quantum Mechanics
Relativistic Quantum Mechanics
Quantization
Problem Sets
Non-Relativistic Quantum Mechanics
Relativistic Quantum Mechanics
Quantization
References and Further Reading
Click on linked topics to view lecture notes.
Lagrangian and Hamiltonian
Matter and Waves
Rotational Symmetry and the Conservation of Angular Momentum in Quantum Mechanics
Quantum Angular Momentum in \(\mathfrak{su}(2)\) Representation
Quantum Angular Momentum in \(\mathbb{R}^{2+2}\) and \(\mathfrak{su}(1,1)\) Representation
Heat Equation and Schrödinger Equation
Quantum Degeneracy
Born Rule
The Eigenvectors of a Hermitian Operator Are Mutually Orthogonal
The Klein-Gordon Equation
Dirac Sea and Antiparticles
The Dirac Equation
Click on the following links for problems.
Claude Cohen-Tannoudji, Bernard Diu, Frank Laloe, Quantum Mechanics, volumes 1 and 2, Wiley, 1992
This is dubbed encyclopedia of quantum mechanics, has more than 1,500 pages, wouldn't be considered as a textbook though it is used as beginning graduate quantum mechanics textbook in some schools, good for people who already know some basic quantum mechanics.
Cécile DeWitt-Morette, Amar Maheshwari and Bruce Nelson, Path Integration in Non-Relativistic Quantum Mechanics, Physics Reports 50, No. 5 (1979) 255-372Walter Dittrich and Martin Reuter, Classical and Quantum Dynamics, From Classical Paths to Path Integrals, Springer, 2001
Л. Д. Фаддеев и О. А. Якубовский, Лекции по Квантовой Механике для Студетов-Математиков, Издательство Ленинградского университета, 1980
English Edition: L. D. Faddeev and O. A. Yakubovskii, Lectures on Quantum Mechanics for Mathematics Students, American Mathematical Society, 2009
R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, 1965Maybe it's just me. This book is not so easy to read:(.
Stephen Gaiorowicz, Quantum Physics, 3rd Edition, Wiley, 2003This was my undergraduate quantum mechanics textbook, a very nice book. It's references contain a great list of quantum mechanics books.
C.W. Gardiner and P. Zoller, Quantum Noise, A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics, Springer, 2000Walter Greiner, Quantum Mechanics, An Introduction, 4th Edition, Springer, 2001
Walter Greiner, Relativistic Quantum Mechanics, Wave Equations, 3rd Edition, Springer, 2000
Walter Greiner and Joachim A. Maruhn, Nuclear Models, Springer, 1996
Walter Greiner and Bernd Müller, Quantum Mechanics, Symmetries, Springer, 1994
David J. Griffiths, Introduction to Quantum Mechanics, Prentice Hall, 1995
Stanley P. Gudder, Stochastic Methods in Quantum Mechanics, North Holland
N.P. Landsman, Mathematical Topics Between Classical and Quantum Mechanics, Springer, 1998 Л. Д. Ландау и Е. М. Лифшиц, Квантовая Механика, Нерелятивистская Теория, Наука, 1969
English Edition: L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Non-relativistic Theory, 3rd Edition, Volume 3 of Course of Theoretical Physics, Pergamon Press, 1977
It's by Lev Davidovich Landau, need I say more?
Eduard Prugovecki, Quantum Mechanics in Hilbert Space, Academic Press, 1971Jedrzej Sniatycki, Geometric Quantization and Quantum Mechanics, Springer-Verlag, 1980
H.-S. Song, Quantum Mechanics (in Korean)
This was also my undergraduate quantum mechanics textbook along with the book by Gaisorowicz listed above. A nice book! Unfortunately it is available only in Korean though. As for mathematical background required to study quantum mechanics, this book is pretty much self-contained. When I was studying quantum mechanics with this book in college, I didn't need to have to use other math books to supplement.
Bernd Thaller, The Dirac Equation, Springer-Verlag, 1992Bernd Thaller, Visual Quantum Mechanics, Selected Topics with Computer-Generated Animations of Quantum-Mechanical Phenomena, Springer TELOS, 2000
Eyvind H. Wichmann, Quantum Physics, Berkeley Physics Course-Volume 4, McGraw-Hill, 1971
Peter Woit, Quantum Theory, Groups and Representations: An Introduction
N.M.J. Woodhouse, Geometric Quantization, Second Edition, Clarendon Press, 1997