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.
|Numero di pagine||17|
|Rivista||JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL|
|Stato di pubblicazione||Published - 2019|
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