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.
- Gol'dman and Krivchenkov, Problems in Quantum Mechanics.
- Heisenberg, Physical Principles of the Quantum Theory.
- Landau and Lifshitz, Quantum Mechanics, Non-relativisitc theory.
- 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. Oxford University Press (1962).
- 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.
Other Textbooks
- V. I. Arnold, Mathemematical Methods of Classical Mechanics, 2nd edition, Springer (1989)
- Herbert Goldstein, Classical Mecanics, Addison-Wesley (1950)
- Kerson Huang, Statistical Mecanics, Second Edition, Wiley (1987)
- Michael A. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press (2010)