Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics and Hamiltonian Hierarchy Method

Details Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics and Hamiltonian Hierarchy Method Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics and Hamiltonian Hierarchy Method

2004-07-02

arxiv.org/abs/quant-ph/0407016v2

J. Math. Chem. 38, 533(2005)

Physics

Quantum Physics

13

Scientific paper

The supersymmetric solutions of PT-/non-PT-symmetric and non-Hermitian deformed Morse and P\"{o}schl-Teller potentials are obtained by solving the Schr\"{o}dinger equation. The Hamiltonian hierarchy method is used to get the real energy eigenvalues and corresponding eigenfunctions. \newline {PACS:05.20.-y; 05.30.-d; 05.70. Ce; 03.65.-w}\newline {\it Keywords}{\small : Supersymmetric quantum mechanics, Hamiltonian Hierarchy Method, Morse potential, P\"{o}schl-Teller potential}

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