The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Generalized Phase-Space Distribution Functions
Abstract
A set of quasi-probability distribution functions which give the correct quantum mechanical marginal distributions of position and momentum is studied. The phase-space distribution does not have to be bilinear in the state function. The Wigner distribution is a special case. A general relationship between the phase-space distribution functions and the rule of associating classical quantities to quantum mechanical operators is derived. This allows the writing of correspondence rules at will,of which the ones presently known are particular cases. The dynamics and other properties of the generalized phase-space distribution are considered.
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Citations
Cites
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
Quantum mechanics as a statistical theory
Moyal, J. E. (1949) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100000487 · Cited by 3,116
Cited by
Linear and quadratic time-frequency signal representations
Hlawatsch, F., & Boudreaux-Bartels, G. F. (1992) · IEEE Signal Processing Magazine · doi:10.1109/79.127284 · Cited by 1,632
The Statistical Interpretation of Quantum Mechanics
BALLENTINE, L. E. (1970) · Reviews of Modern Physics · doi:10.1103/revmodphys.42.358 · Cited by 1,033
Theory and application of the quantum phase-space distribution functions
Lee, H.-W. (1995) · Physics Reports · doi:10.1016/0370-1573(95)00007-4 · Cited by 773
Goyal, D., & Pabla, B. S. (2016) · Archives of Computational Methods in Engineering · doi:10.1007/s11831-015-9145-0 · Cited by 508
Application of the Wigner distribution function to partially coherent light
Bastiaans, M. J. (1986) · Journal of the Optical Society of America A · doi:10.1364/josaa.3.001227 · Cited by 342
Metadata
- Authors
- Cohen, L.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1966-05-01
- Volume
- 7
- Issue
- 5
- Pages
- 781-786
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W1971527405
- Cited by
- 1,105
- References
- 2
- FWCI
- 3.50
- Type
- journal article
- Language
- en
- Open access
- closed
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