Wigner operator's new transformation in phase space quantum mechanics and its applications
| dc.creator | Fan, Hong-yi | |
| dc.date | 2009-03-10 | |
| dc.date.accessioned | 2026-07-07T12:50:53Z | |
| dc.date.available | 2026-07-07T12:50:53Z | |
| dc.description | Using operators' Weyl ordering expansion formula (Hong-yi Fan,\emph{\}J. Phys. A 25 (1992) 3443) we find new two-fold integration transformation about the Wigner operator $Δ(q',p')$ ($q$-number transform) in phase space quantum mechanics, \[ \iint_{-\infty}^\infty dp' dq'/πΔ(q',p') e^{-2i(p-p') (q-q')} =δ(p-P) δ(q-Q), \] and its inverse \[\iint_{-\infty}^\infty dq dp δ(p-P) δ(q-Q) e^{2i(p-p') (q-q')}=Δ(q',p'), \] where $Q,$ $P$ are the coordinate and momentum operators, respectively. We apply it to studying mutual converting formulas among $Q-P$ ordering, $P-Q$ ordering and Weyl ordering of operators. In this way, the contents of phase space quantum mechanics can be enriched. | |
| dc.description | 11 pages no figure | |
| dc.identifier | https://arxiv.org/abs/0903.1769 | |
| dc.identifier | http://arxiv.org/abs/0903.1769 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222823 | |
| dc.subject | Quantum Physics | |
| dc.title | Wigner operator's new transformation in phase space quantum mechanics and its applications | |
| dc.type | text |