In this paper, we discuss a general strategy to construct vector coherent states of the Gazeau-Klauder type and we use them to build up examples of isospectral Hamiltonians. For that we use a general strategy recently proposed by the author, which extends well-known facts on intertwining operators. We also discuss the possibility of constructing non-isospectral Hamiltonians with related eigenstates.

BAGARELLO F (2009). Vector coherent states and intertwining operators. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 42, 075302-1-075302 -11 [10.1088/1751-8113/42/7/075302].

Vector coherent states and intertwining operators

BAGARELLO, Fabio
2009-01-01

Abstract

In this paper, we discuss a general strategy to construct vector coherent states of the Gazeau-Klauder type and we use them to build up examples of isospectral Hamiltonians. For that we use a general strategy recently proposed by the author, which extends well-known facts on intertwining operators. We also discuss the possibility of constructing non-isospectral Hamiltonians with related eigenstates.
2009
Settore MAT/07 - Fisica Matematica
BAGARELLO F (2009). Vector coherent states and intertwining operators. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 42, 075302-1-075302 -11 [10.1088/1751-8113/42/7/075302].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/38554
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