Completeness of photon-added squeezed vacuum and one-photon states and of photon-added coherent states on a circle

Authors
Citation
C. Quesne, Completeness of photon-added squeezed vacuum and one-photon states and of photon-added coherent states on a circle, PHYS LETT A, 288(5-6), 2001, pp. 241-250
Citations number
44
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
288
Issue
5-6
Year of publication
2001
Pages
241 - 250
Database
ISI
SICI code
0375-9601(20011001)288:5-6<241:COPSVA>2.0.ZU;2-J
Abstract
A discrete completeness relation and a continuous one with a positive measu re are found for the photon-added squeezed vacuum states. Extension to the photon-added squeezed one-photon states is considered. Photon-added coheren t states on a circle are introduced. Their normalization and unity resoluti on relation are given. (C) 2001 Elsevier Science B.V. All rights reserved.