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Can I read Gazeau-Klauder type coherent states for hypergeometric type operators on EtoBox?
Gazeau-Klauder type coherent states for hypergeometric type operators by Nicolae Cotfas is a Physics and Astronomy article available to read on EtoBox.
What is Gazeau-Klauder type coherent states for hypergeometric type operators about?
Hypergeometric type operators are shape invariant, and a factorization into a product of first order differential operators can be explicitely described in the general case. Some additional shape invariant operators depending on several parameters are defined in a natural way by starting from this general factorization. The mathematical properties of the eigenfunctions and eigenvalues of the operators thus obtained depend on the values of the parameters involved. We study the parameter dependence of orthogonality, square integrability and monotony of the eigenvalue sequence. The results obtained allow us to define certain systems of Gazeau-Klauder type coherent states and to describe some of their properties. Our systematic study recovers a number of well-known results in a natural, unified way and also leads to new findings.
Who reads Gazeau-Klauder type coherent states for hypergeometric type operators?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- Nicolae Cotfas
- Publisher
- Walter de Gruyter GmbH
- Published
- 2009
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)