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New approach to Q — P (P — Q) ordering of quantum mechanical operators and its applications.
- Source :
-
Chinese Physics B . Dec2013, Vol. 22 Issue 12, p120301-120304. 4p. - Publication Year :
- 2013
-
Abstract
- In this paper, we introduce a new way to obtain the Q — P (P — Q) ordering of quantum mechanical operators, i.e., from the classical correspondence of Q — P (P — Q) ordered operators by replacing q and p with coordinate and momentum operators, respectively. Some operator identities are derived concisely. As for its applications, the single (two-) mode squeezed operators and Fresnel operator are examined. It is shown that the classical correspondence of Fresnel operator's Q — P (P — Q) ordering is just the integration kernel of Fresnel transformation. In addition, a new photo-counting formula is constructed by the Q — P ordering of operators. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM mechanics
*COORDINATES
*MOMENTUM operator
*FRESNEL function
*QUANTUM optics
Subjects
Details
- Language :
- English
- ISSN :
- 16741056
- Volume :
- 22
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Chinese Physics B
- Publication Type :
- Academic Journal
- Accession number :
- 94288268
- Full Text :
- https://doi.org/10.1088/1674-1056/22/12/120301