Phase-space descriptions of operators and the Wigner distribution in quantum mechanics II. The finite dimensional case

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dc.creatorChaturvedi, S.
dc.creatorErcolessi, E.
dc.creatorMarmo, G.
dc.creatorMorandi, G.
dc.creatorMukunda, N.
dc.creatorSimon, R.
dc.date2005-07-06
dc.date2005-07-20
dc.date.accessioned2026-07-07T06:13:09Z
dc.date.available2026-07-07T06:13:09Z
dc.descriptionA complete solution to the problem of setting up Wigner distribution for N-level quantum systems is presented. The scheme makes use of some of the ideas introduced by Dirac in the course of defining functions of noncommuting observables and works uniformly for all N. Further, the construction developed here has the virtue of being essentially input-free in that it merely requires finding a square root of a certain N^2 x N^2 complex symmetric matrix, a task which, as is shown, can always be accomplished analytically. As an illustration, the case of a single qubit is considered in some detail and it is shown that one recovers the result of Feynman and Wootters for this case without recourse to any auxiliary constructs.
dc.description14 pages, typos corrected, para and references added in introduction, submitted to Jour. Phys. A
dc.identifierhttps://arxiv.org/abs/quant-ph/0507054
dc.identifierhttp://arxiv.org/abs/quant-ph/0507054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93002
dc.subjectQuantum Physics
dc.titlePhase-space descriptions of operators and the Wigner distribution in quantum mechanics II. The finite dimensional case
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