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- W2056227974 abstract "An alternative approach to the general problem of factorization of the Schrödinger Hamiltonian operator, in the framework of supersymmetric quantum mechanics (SUSY QM), is presented. We express the factorization of the partner Hamiltonians H 1 ↔ H 2 in terms of the probability density and current for the ground state eigenfunction of H 1 . This directly implies that the involved operators in the factorization be complex. However, being H 1 a real operator (self-adjoint) its partner H 2 is in general a complex operator. For a vanishing probability current, we recover the results of the standard SUSY QM. We consider the model problem of a free particle in a one-dimensional box with a non-standard PT-symmetric boundary condition from which a complex PT-symmetric partner Hamiltonian with real spectrum is obtained." @default.
- W2056227974 created "2016-06-24" @default.
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- W2056227974 date "2002-06-01" @default.
- W2056227974 modified "2023-09-24" @default.
- W2056227974 title "SUSY QM with a complex partner potential in a one-dimensional box" @default.
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- W2056227974 doi "https://doi.org/10.1016/s0375-9601(02)00477-2" @default.
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