9511001v1

related topics
{group, space, representation}
{observables, space, algebra}
{classical, space, random}
{operator, operators, space}
{state, states, entangled}
{field, particle, equation}
{temperature, thermal, energy}
{time, decoherence, evolution}
{theory, mechanics, state}
{energy, state, states}

Classical behaviour in quantum mechanics: a transition probability approach

N. P. Landsman

abstract: A formalism is developed for describing approximate classical behaviour in finite (but possibly large) quantum systems. This is done in terms of a structure common to classical and quantum mechanics, viz. a Poisson space with a transition probability. Both the limit where Planck's constant goes to zero in a fixed finite system and the limit where the size of the system goes to infinity are incorporated. In either case, classical behaviour is seen only for certain observables and in a restricted class of states.

oai_identifier:
oai:arXiv.org:quant-ph/9511001
categories:
quant-ph
comments:
LaTeX, 11 pages
arxiv_id:
quant-ph/9511001
created:
1995-11-01

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