## 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