Wigner distributions in quantum mechanics
Journal of Physics: Conference Series, ISSN: 1742-6596, Vol: 87, Issue: 1
2007
- 6Citations
- 16Captures
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Article Description
The Weyl-Wigner description of quantum mechanical operators and states in classical phase-space language is well known for Cartesian systems. We describe a new approach based on ideas of Dirac which leads to the same results but with interesting additional insights. A way to set up Wigner distributions in an interesting non-Cartesian case, when the configuration space is a compact connected Lie group, is outlined. Both these methods are adapted to quantum systems with finite-dimensional Hilbert spaces, and the results are contrasted. © 2007 IOP Publishing Ltd.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=37249076521&origin=inward; http://dx.doi.org/10.1088/1742-6596/87/1/012010; https://iopscience.iop.org/article/10.1088/1742-6596/87/1/012010; http://stacks.iop.org/1742-6596/87/i=1/a=012010/pdf; https://dx.doi.org/10.1088/1742-6596/87/1/012010; https://validate.perfdrive.com/fb803c746e9148689b3984a31fccd902/?ssa=cf255148-5dbe-42d8-86c5-93a404c663a2&ssb=94085222175&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F1742-6596%2F87%2F1%2F012010&ssi=09e1aa23-8427-4adc-bd3b-0b4069bc72c4&ssk=support@shieldsquare.com&ssm=94297195145290032326443694596728625&ssn=e923def2e72fa01e8568ed2747dff4d529d2e7e44089-5b4c-4bba-9bd079&sso=5775880e-62ddb6055d96b54aa701153b57ba04a6294af6af3817678f&ssp=16038402361722174085172237819665424&ssq=60377665836168235674296580385895857606094&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJyZCI6ImlvcC5vcmciLCJfX3V6bWYiOiI3ZjYwMDA3NmNmYmIwZC1hOTY5LTQwMjItYWM3My04NjU0NDg0NTczMTgxNzIyMTk2NTgwNDk0MTYxNzgxMDIzLWY4ZDg3NTBjNWRhM2ExNzMzMjY0NCIsInV6bXgiOiI3ZjkwMDA1ZmViNjE3Ny05MmVkLTRmNTYtOGZlMS01OTlkOWM5MmM0MTUzLTE3MjIxOTY1ODA0OTQxNjE3ODEwMjMtMjFmZGZkZjY1OTA0YzE0MjMyNjQ0In0=
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