In this paper we consider some aspects of tridiagonal, non self-adjoint, Hamiltonians and of their supersymmetric counterparts. In particular, the problem of factorization is discussed, and it is shown how the analysis of the eigenstates of these Hamiltonians produce interesting recursion formulas giving rise to biorthogonal families of vectors. Some examples are proposed, and a connection with bi-squeezed states is analyzed.
Bagarello, F., Gargano, F., Roccati, F. (2019). Tridiagonality, supersymmetry and non self-adjoint Hamiltonians. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 52(35) [10.1088/1751-8121/ab30db].
Tridiagonality, supersymmetry and non self-adjoint Hamiltonians
Bagarello, F;Gargano, F;Roccati, F
2019-01-01
Abstract
In this paper we consider some aspects of tridiagonal, non self-adjoint, Hamiltonians and of their supersymmetric counterparts. In particular, the problem of factorization is discussed, and it is shown how the analysis of the eigenstates of these Hamiltonians produce interesting recursion formulas giving rise to biorthogonal families of vectors. Some examples are proposed, and a connection with bi-squeezed states is analyzed.
| File | Dimensione | Formato | |
|---|---|---|---|
|
1907.05111.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Post-print
Dimensione
230.68 kB
Formato
Adobe PDF
|
230.68 kB | Adobe PDF | Visualizza/Apri |
|
Tridiagonality, supersymmetry and non self-adjoint Hamiltonians.pdf
Solo gestori archvio
Tipologia:
Versione Editoriale
Dimensione
2.94 MB
Formato
Adobe PDF
|
2.94 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
