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Coherent states on the circle | | Jose A. Gonzalez
; Mariano A. del Olmo
; | | Date: |
9 Sep 1998 | | Journal: | J.Phys. A31 (1998) 8841-8857 | | Subject: | quant-ph | | Abstract: | A careful study of the physical properties of a family of coherent states on the circle, introduced some years ago by de Bièvre and González in [DG 92], is carried out. They were obtained from the Weyl-Heisenberg coherent states in $L^2(R)$ by means of the Weil-Brezin-Zak transformation, they are labeled by the points of the cylinder $S^1 imes R$, and they provide a realization of $L^2(S^1)$ by entire functions (similar to the well-known Fock-Bargmann construction). In particular, we compute the expectation values of the position and momentum operators on the circle and we discuss the Heisenberg uncertainty relation. | | Source: | arXiv, quant-ph/9809020 | | Services: | Forum | Review | PDF | Favorites | |
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