9807001v1

related topics
{equation, function, exp}
{energy, gaussian, time}
{particle, mechanics, theory}
{measurement, state, measurements}
{group, space, representation}
{theory, mechanics, state}
{operator, operators, space}
{bell, inequality, local}
{phase, path, phys}
{cos, sin, state}
{state, states, coherent}

Quantum Mechanics without Waves: a Generalization of Classical Statistical Mechanics

Marcello Cini

abstract: We generalize classical statistical mechanics to describe the kinematics and the dynamics of systems whose variables are constrained by a single quantum postulate (discreteness of the spectrum of values of at least one variable of the theory). This is possible provided we adopt Feynman's suggestion of dropping the assumption that the probability for an event must always be a positive number. This approach has the advantage of allowing a reformulation of quantum theory in phase space without introducing the unphysical concept of probability amplitudes, together with all the problems concerning their ambiguous properties.

oai_identifier:
oai:arXiv.org:quant-ph/9807001
categories:
quant-ph cond-mat hep-th math-ph math.MP
comments:
25 pages, Latex
doi:
10.1006/aphy.1998.5892
arxiv_id:
quant-ph/9807001
journal_ref:
Annals Phys. 273 (1999) 99-113
report_no:
1097, July 1st 1998, Dipartimento di Fisica Universita di Roma "La Sapienza"
created:
1998-07-01

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