Abstract
The basic properties of nonrelativistic finite-dimensional quantum mechanics are presented. A discrete quantum mechanics is developed. Second quantization, the symmetric and antisymmetric Fock spaces are also discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Atkinson, D., and Halpern, M. (1967). “'Non-Usual Topologies on Space-Time and High Energy Scattering,”Journal of Mathematical Physics,8, 373–387.
Auslander, L., and Tolimieri, R. (1979). “Is Computing with the Finite Fourier Transform Pure or Applied Mathematics?”Bulletin of the American Mathematical Society,1, 847–897.
Berezin, F. (1966).The Method of Second Quantization. Academic Press, New York.
Gudder, S. (1968). “Elementary Length Topologies in Physics,”SIAM Journal of Applied Mathematics,16, 1011–1019.
Guichardet, A. (1972).Symmetric Hilbert Spaces and Related Topics. Springer-Verlag, New York.
Heisenberg, W. (1930).The Physical Principles of Quantum Theory. Dover, New York.
Kato, T. (1966).Perturbation Theory for Linear Operators. Springer-Verlag, New York.
Klauder, J. (1970). “Exponential Hilbert Spaces: Fock Space Revisited,”Journal of Mathematical Physics,11, 609–630.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gudder, S., Naroditsky, V. Finite-dimensional quantum mechanics. Int J Theor Phys 20, 619–643 (1981). https://doi.org/10.1007/BF00671374
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00671374