Reference Books

Computational Quantum Mechanics, Physics 498CQM Spring 2001


TEXTBOOK:

"Computational Physics" by J. M. Thijssen, Cambridge Press, 1999. Available in paperback.

Many of the books below are on reserve in Loomis.


Other Computational Physics Books

Koonin, S. E. & Meredith, D. C., "Computational Physics - Fortran Version", Addison-Wesley, 1990. General Methods of computational physics mainly oriented toward quantum mechanics.

N. J. Giordano, "Computational Physics", Printice Hall, 1997.

W. R. Gibbs, "Computation in Modern Physics", World Scientific, 1994.

H. Gould and J. Tobochnik "Computer Simulation Methods Applications to Physical Systems. Vols.1 and 2", Addison Wesley, 1988.

H. Gould and J. Tobochnik "An Introduction to Computer Simulation Methods, 2nd edition", Addison Wesley, 1996.

General Numerical Methods

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, "Numerical Recipes, the Art of Scientific Computing". There are versions for C, Fortran and Fortran 90.

M. Heath, "Scientific Computing: An introductory Survey", McGraw-Hill, 1997.

Strang, G., Introduction to Applied Mathmatics", Wellesley-Cambridge Press, 1986.

Lanczos, C., "Applied Analysis", C.L. Prentice Hall, 1956. Also Dover reprint in paperback.

D. Knuth "The Art of Computer Programming Vol II, Seminumerical Algorithms", Addison-Wesley, 1981. A long discussion of random number generation. pgs 1-170.

Programming and Graphics

Ellis, T. M. R., et al, "Fortran 90 Programming", Addison-Wesley, 1995. (paperback)

Kerrigan, J. F., "Migrating to Fortran 90", O'Reilly & Asociates, 1993. (paperback)

Handbook for Gnuplot - available as help or man pages on Unix workstations.

General Texts in Quantum Theory

Shankar, R., "Principles of Quantum Mechanics"

Messiah, A. , "Quantum Mechanics, Vol. I and II"

Feynman, R. , "Statistical Mechanics"

Ziman, J. M. , "Elements of Advanced Quantum Theory"

Baym, G., "Lectures on Quantum Mechanics"

Mahan, G., "Many-Particle Physics, 2nd Ed."

Tinkham, M., "Group Theory and Quantum Mechanics"

Solid State Theory

M. P. Marder, "Condensed Matter Physics" Wley-Interscience , 2000
(New text with many numerical examples)

Ashcroft & Mermin, "Solid State Physics"

Kittel, C., "Introduction to Solid State Physics"

Madelung, O., "Introduction to Solid State Theory"

Ziman, J. M., "Principles of the Theory of Solids"

Texts and monographs on Electronic Structure

Slater, J., "Quantum Theory of Atoms, Molecules, and Solids"

Harrison, W., "Electronic Structure and the Properties of Solids"

Parr, R. G. & Yang, W., "Density Functional theory of Atoms and Molecules"

Hedin, L. & Lundquist, S., "Solid State Physics, Vol. 23, p. 1."

Haydock, R. & Heine, V. Several articles in "Solid State Physics, Vol. 35."

Monte Carlo Methods

M.P. Allen and D.J. Tildesley, "Computer Simulation of Liquids", Oxford, 1987. General introduction to classical molecular dynamics and monte carlo as applied to liquids.

M.H. Kalos and P.A. Whitlock, "Monte Carlo Methods, Vol I", Wiley, 1986. Probability, Sampling, Tricks, Metropolis, Green's Function Monte Carlo.

J.M. Hammersley and D.C. Handscomb, "Monte Carlo Methods", Chapman and Hall, 1964. Classic mongram on basic Monte Carlo methods.

B. L. Hammond, W. A. Lester, Jr. and P. J. Reynolds, "Monte Carlo Methods in Ab Intio Quantum Chemistry" World Scientific, 1994. (541.28015192) Detailed description of variational and diffusion Monte Carlo applied to small molecules.


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