Some spectral equivalences between Schrodinger operators

Abstract

Spectral equivalences of the quasi-exactly solvable sectors of two classes of Schrodinger operators are established, using Gaudin-type Bethe ansatz equations. In some instances the results can be extended leading to full isospectrality. In this manner we obtain equivalences between PT-symmetric problems and Hermitian problems. We also find equivalences between some classes of Hermitian operators.

14 pages

References in corpus (6)

• Making Sense of Non-Hermitian Hamiltonians
• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• The ODE/IM Correspondence
• An Equivalent Hermitian Hamiltonian for the non-Hermitian -x^4 Potential
• Exact Isospectral Pairs of PT-Symmetric Hamiltonians
• Equivalent Hamiltonian for Lee Model