Additional Texts

Quantum Mechanics

• Bethe and Jackiw, Intermediate Quantum Mechanics.
• Bethe and Salpeter, Quantum Mecanics of One- and Two-Electron Atoms.
• Davydov, Quantum Mecahnics, (International Series in Natural Philosophy)
• Dirac, The principles of Quantum Mechanics.
• Victor Galitski, Boris Karnakov, Vladimir Kogan, Victor Galitski Jr, Exploring Quantum Mechanics: A Collection of 700+ Solved Problems for Students, Lecturers, and Researchers.
• Gottfried and YanQuantum Mechanics: Fundamentals.
• Heisenberg, Physical Principles of the Quantum Theory.
• Landau and Lifshitz, Quantum Mechanics, Non-relativisitc theory.
• Michel Le Bellac, Quantum Physics
• Messiah, Quantum Mecahnics I and II.
• Merzbacher, Quantum Mechanics.
• Sakurai and Taun, Modern Quantum Mechanics.
• Schiff, Quantum Mecahnics.
• Shankar, Principles of Quantum Mechanics.

Mathematical Physics

• Akhiezer and Glazman, Theory of Linear Operators in Hilbert Sapce, Volumes I and II. (especially pp1-16 of Volume II)
• Ahlfors, Complex Analysis, McGraw Hill (1953)
• Arfken, Mathematical Methods for Physicists, Academic Press (1966)
• Axler, Linear Algebra Done Right, Springer (2004)
• Bender and Orszag, Advanced Mathematical Methods for Scientists and Engineers I, Asymptotic Methods and Perturbation Theory, Springer (1991)
• Byron and Fuller, Mathematics of Classical and Quantum Physics/Two Volumes in One.
• Chevalley, Theory of Lie Groups, Princeton University Press, (1946)
• Courant and Hilbert, Methods of Mathematical Physics, Volumesl 1 and II, Interscience Publishers, (1966)
• Cullen, Matrices and Linear Transformations, Dover (1972).
• Dunford and Schwartz, Linear Operators, Volumes I and II.
• Friedman, Principles and Techiniques of Applied Mathematics.
• Hamermesh, Group Theory and its Application to Physical Problems, Dover Publications, (1962).
• J. Heading, An Introduction to Phase-Integral Methods, Methuen's Monographs on Physical Subjects (1962)
• Kato, Petrurbation Theory for Linear Operators.
• Lorch, Spectral Analysis.
• Reed and Simon, I. Functinoal Analysis
• Reed and Simon, II. Fourier Analysis, Self-Adjointness
• Reisz and Nagy, Functional Analysis.
• Shilov, Linear Algebra, Dover (1971)
• Von Neuman, Mathematical Foundations of Quantum Mechanics.
• Zeidler, Applied Functional Analysis: Applications to Mathematical Physics.

Fermions, Grassmann variables and second quantization

• F.A. Berazin, The Method of Second Quantization, Academic Press (1966)
• Bryce DeWitt, Supermanifolds, Cambridge University Press (1984)
• T.D. Lee, Particle Physics and Introduction to Field Theory, Hardwood Academic Publishers (1981) (especially pp505-512)

Other Textbooks

• V. I. Arnold, Mathemematical Methods of Classical Mechanics, 2nd edition, Springer (1989)
• H.J. Carmichael, Statistical Methods in Quantum Optics 1,Master Equations and Fokker-Planck Equations, Springer-Verlag, ISBN 978-3-642-08133-0 (2002)
• Herbert Goldstein, Classical Mecanics, Addison-Wesley (1950)
• Kerson Huang, Statistical Mecanics, Second Edition, Wiley (1987)
• Charles Kittel and Herbert Kroemer, Thermal Physics, W. H. Freeman and Company, New York, ISBN 0-7167-1088-9 (1980)
• Michael A. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Information, 10th Anniversary Edition, Cambridge University Press (2010)