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Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/B2710AEF-4DE3-436A-9924-2F60D49AA503 | - |
| Identifier | http://www.sciencedirect.com/science/article/pii/S0034487706800091 | - |
| Identifier | https://doi.org/10.1016/S0034-4877(06)80009-1 | - |
| Language | en | - |
| Extent | 19 pages | en |
| Title | Region operators of wigner function: transformations, realizations and bounds | en |
| Creator | Ellinas Dimosthenis | en |
| Creator | Ελληνας Δημοσθενης | el |
| Creator | Tsohantjis Ioannis | en |
| Publisher | Elsevier | en |
| Content Summary | An integral of the Wigner function of a wave function ψ>, over some region S in classical phase space is identified as a (quasi)-probability measure (QPM) of S, and it can be expressed by the ψ> average of an operator referred to as the region operator (RO). Transformation theory is developed which provides the RO for various phase-space regions such as point, line, segment, disk and rectangle, and where all those ROs are shown to be interconnected by completely positive trace increasing maps. The latter are realized by means of unitary operators in Fock space extended by 2D vector spaces, physically identified with finite-dimensional systems. Bounds on QPMs for regions obtained by tiling with discs and rectangles are obtained by means of majorization theory. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-11-09 | - |
| Date of Publication | 2006 | - |
| Subject | Wigner function | en |
| Subject | Region operators | en |
| Subject | Quantum mechanics | en |
| Subject | Quantum tomography | en |
| Subject | Completely positive maps | en |
| Subject | Majorization | en |
| Bibliographic Citation | D. Ellinas and I. Tsohantjis, "Region operators of wigner function: transformations, realizations and bounds," Rep. Math. Phys., vol. 57, no. 1, pp. 69-87, Feb. 2006. doi:10.1016/S0034-4877(06)80009-1 | en |
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