Conventional quantum mechanics without wave function and density matrix - INSPIRE

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Conventional quantum mechanics without wave function and density matrix

Vladimir I. Man'ko

Feb, 1999

37 pages

Part of Proceedings, 31st Latin American School of Physics on New Perspectives in Quantum Mechanics (ELAF 1998) : Mexico City, Mexico, July 27-August 14, 1998, 191

Published in:

AIP Conf.Proc. 464 (1999) 1, 191

Contribution to:

- ELAF 1998
, 191

Published: Mar 6, 1999

e-Print:

quant-ph/9902079 [quant-ph]

DOI:

10.1063/1.58229

View in:

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Abstract:

The tomographic invertable map of the Wigner function onto the positive probability distribution function is studied. Alternatives to the Schr\"odinger evolution equation and to the energy level equation written for the positive probability distribution are discussed. Instead of the transition probability amplitude (Feynman path integral) a transition probability is introduced. A new formulation of the conventional quantum mechanics (without wave function and density matrix) based on the ``probability representation'' of quantum states is given. An equation for the propagator in the new formulation of quantum mechanics is derived. Some paradoxes of quantum mechanics are reconsidered.

Note:

Latex, 37 pages, to be published as lectures given at the Latin American School of Physics, (XXXI ELAF, July-August, 1998, Mexico) in Castaños, O., Hacyan, S., Lopez-Peña, R., (Eds.), AIP Conference Proceedings (American Institute of Physics, New York, 1999)

quantum theory
Wigner distribution
wave functions
Schrodinger equation
spectra

References(74)

Figures(0)

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