Relativistic quantum mass distributions on velocity space
Gilson, J.-G.
Annales de l'I.H.P. Physique théorique, Tome 10 (1969), p. 239-249 / Harvested from Numdam
Publié le : 1969-01-01
@article{AIHPA_1969__11_2_239_0,
     author = {Gilson, James G.},
     title = {Relativistic quantum mass distributions on velocity space},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {10},
     year = {1969},
     pages = {239-249},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1969__11_2_239_0}
}
Gilson, J.-G. Relativistic quantum mass distributions on velocity space. Annales de l'I.H.P. Physique théorique, Tome 10 (1969) pp. 239-249. http://gdmltest.u-ga.fr/item/AIHPA_1969__11_2_239_0/

[1] J.G. Gilson, Functional Viewpoint in Quantum Mechanics. Il Nuovo Cimento, Serie X, t. 40, 1965, p. 993. | MR 198823

[2] J.G. Gilson, On Stochastic Theories of Quantum Mechanics. Proc. Camb. Phil. Soc., t. 63, 1968.

[3] J.G. Gilson, Quantum Probability Weighted Paths, to be published.

[4] J.G. Gilson, Feynman Integral and Phase Space Probability. J. App. Prob., t. 5, August 1968. | MR 235815 | Zbl 0179.58002

[5] J.G. Gilson, Expansion of Quantum Phase Space Probabilities Into Classically Deterministic Parts, Journal Institute Mathematics, t. 4, 1968. | MR 235815 | Zbl 0167.55801

[6] J.G. Gilson, Thermal Content of Quantum States. Z. Na turforsch., t. 24a, 1969, p. 198.

[7] E. Wigner, On the Quantum Correction for Thermodynamic Equilibrium. Phys. Rev., t. 40, 1932, p. 749. | JFM 58.0948.07 | Zbl 0004.38201

[8] J.E. Moyal, Quantum Mechanics as a Statistical Theory. Proc. Camb. Phil. Soc., t. 45, 1949, p. 99. | MR 29330 | Zbl 0031.33601

[9] M.S. Bartlett and J.E. Moyal, The Exact Transition Probabilities of Quantum Mechanical Oscillators calculated by the Phase-Space Method. Proc. Camb. Phil. Soc., t. 45, 1949, p. 545. | MR 34709 | Zbl 0037.12302

[10] B. Leaf, Weyl Transformations and the Classical Limit of Quantum Mechanics. J. Math. Phys., t. 9, n° 1, janvier 1968. | Zbl 0161.45801

[11] E. Madelung, Quanten theorie in hydrodynamischer Form. Z. Physik, t. 40, 1926, p. 332. | JFM 52.0969.06

[12] J.P. Vigier, Model of the Causal Interpretation of Quantum Theory in terms of a Fluid with Irregular Fluctuations. Phys. Rev., t. 96, n° 1, October 1954, p. 208. | MR 66955 | Zbl 0058.22905

[13] R.P. Feynman, Space-Time Approach to Quantum Electrodynamics. Phys. Rev., t. 76, 1949, p. 749. | MR 35687 | Zbl 0038.13302

[14] J. Schwinger, Phys. Rev., t. 93, 1954, p. 615. | Zbl 0057.43401

[15] A. Salam and P.T. Matthews, Phys. Rev., t. 90, 1953, p. 690. | MR 56473 | Zbl 0051.20703

[16] J.G. Gilson, Independent Electron Positron Pair Production Events and Energy Loss. Fortschritte der Physik, t. 15, 1967, p. 537.

[17] P.A.M. Dirac, The Principles of Quantum Mechanics, Oxford, 1947. | MR 23198 | Zbl 0030.04801

[18] E. Nelson, Derivation of the Schrödinger equation from Newtonian Mechanics. Phys. Rev., t. 150, n° 4, October 1966, p. 1079.

[19] E. Nelson, Dynamical Theories of Brownian Motion, Princeton, 1967. | MR 214150 | Zbl 0165.58502

[20] D. Kershaw, Theory of Hidden Variables. Phys. Rev., t. 136, n° 6, December 1964, p. B1850. | MR 186019

[21] D. Bohm, Causality and Chance in Modern Physics, Routledge, 1957. | MR 87486

[22] S.A. Rice and P. Gray, The Statistical Mechanics of Simple Liquids, Interscience, 1965.

[23] D. Massignon, Mécanique Statistique de Fluides. Dunod, 1957. | MR 93955 | Zbl 0082.39201

[24] J.G. Gilson, Quantum Wave Functionals and Some Related Topics. Z. Naturforsch., t. 23a, 1968, p. 1452.