Search results for "tridiagonal matrice"

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Tridiagonality, supersymmetry and non self-adjoint Hamiltonians

2019

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.

Statistics and ProbabilityFOS: Physical sciencesGeneral Physics and Astronomy01 natural sciencesFactorization0103 physical sciences010306 general physicsSettore MAT/07 - Fisica MatematicaMathematical PhysicsEigenvalues and eigenvectorsMathematicsQuantum PhysicsTridiagonal matrix010308 nuclear & particles physicsRecursion (computer science)Statistical and Nonlinear Physicstridiagonal matriceMathematical Physics (math-ph)SupersymmetryConnection (mathematics)non self-adjoint HamiltonianAlgebrabiorthogonal basesModeling and SimulationBiorthogonal systemQuantum Physics (quant-ph)Self-adjoint operatorJournal of Physics A: Mathematical and Theoretical
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