Isospectral partners for a complex PT-invariant potential
arXiv:quant-ph/0205124 · doi:10.1016/S0375-9601(02)00736-3
Abstract
We construct isospectral partner potentials of a complex PT-invariant potential, viz., V(x) = V_1 sech ^2 x - i V_2 sech x tanh x using Darboux's method. Oneset of isospectral potentials are obatined which can be termed 'Satellite potentials', in the sense that they are pf the same form as the original potential. In a particular case, the supersymmetric partner potential has the same spectrum, including the zero energy ground state, a fact which cannot occur in conventional supersymmetric quantum mechanics with real potential. An explicit example of a non-trivial set of isospectral potential is also obtained.
14 pages, 2 figures
References in corpus (5)
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- Solvable simulation of a double-well problem in PT symmetric quantum mechanics
- From Pseudo-bosons to Pseudo-Hermiticity via multiple generalized Bogoliubov transformations
- Supersymmetric Biorthogonal Quantum Systems
- New Exactly Solvable Isospectral Partners for PT Symmetric Potentials
- Exact Solutions of the Schrödinger Equation with position-dependent effective mass via general point canonical transformation
- Aspects of the ODE/IM correspondence
- Swanson Hamiltonian: non-PT-symmetry phase