{ "id": "quant-ph/0612166", "version": "v1", "published": "2006-12-19T17:22:10.000Z", "updated": "2006-12-19T17:22:10.000Z", "title": "Coherent States for generalized oscillator with finite-dimensional Hilbert space", "authors": [ "Vadim V. Borzov", "Eugene V. Damaskinsky" ], "comment": "English translation of the article published in Russian", "journal": "ZNS POMI vol.335, 75-99 (2006)", "categories": [ "quant-ph" ], "abstract": "The construction of oscillator-like systems connected with the given set of orthogonal polynomials and coherent states for such systems developed by authors is extended to the case of the systems with finite-dimensional state space. As example we consider the generalized oscillator connected with Krawtchouk polynomials.", "revisions": [ { "version": "v1", "updated": "2006-12-19T17:22:10.000Z" } ], "analyses": { "keywords": [ "finite-dimensional hilbert space", "coherent states", "generalized oscillator", "finite-dimensional state space", "krawtchouk polynomials" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "ru", "license": "arXiv", "status": "editable", "adsabs": "2006quant.ph.12166B" } } }