Completeness of Coherent States Associated with Self-Similar Potentials and Ramanujan's Integral Extension of the Beta Function

Autor:	M.A. Candido Ribeiro, A. B. Balantekin, A N F Aleixo
Jazyk:	angličtina
Rok vydání:	2002
Předmět:	Nuclear Theory General Physics and Astronomy FOS: Physical sciences 01 natural sciences Identity (music) Ramanujan's sum Nuclear Theory (nucl-th) symbols.namesake Completeness (order theory) 0103 physical sciences Mathematics - Quantum Algebra FOS: Mathematics Integral element Quantum Algebra (math.QA) 20G42 010306 general physics Beta function 81R30 (primary) Mathematical Physics Mathematical physics Mathematics 010308 nuclear & particles physics Statistical and Nonlinear Physics Extension (predicate logic) Mathematical Physics (math-ph) 16. Peace & justice Connection (mathematics) symbols Coherent states
Popis:	A decomposition of identity is given as a complex integral over the coherent states associated with a class of shape-invariant self-similar potentials. There is a remarkable connection between these coherent states and Ramanujan's integral extension of the beta function. 9 pages of Latex
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5b05de7c2eb721828f729054021ba3d http://arxiv.org/abs/math-ph/0209033 Zobrazit plný text záznamu