Factorization and superpotential of the PT symmetric Hamiltonian

Abstract

We study the factorization of the PT symmetric Hamiltonian. The general expression for the superpotential corresponding to the PT symmetric potential is obtained and explicit examples are presented.

Replaced by the final version published in JPA

References in corpus (3)

• Supersymmetry and the spontaneous breakdown of PT symmetry
• Generating Complex Potentials with Real Eigenvalues in Supersymmetric Quantum Mechanics
• PT - symmetrized supersymmetric quantum mechanics

Cited by in corpus (9)

• Pseudo-Supersymmetric Quantum Mechanics and Isospectral Pseudo-Hermi tian Hamiltonians
• Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation
• A new class of non-Hermitian Hamiltonians with real spectra
• Solvable simulation of a double-well problem in PT symmetric quantum mechanics
• Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential is studied to get real and Supersymmetric Solution of PT-/Non-PT-Symmetric and Non-Hermitian Morse Potential via Hamiltonian Hierarchy Method
• Comment on "Supersymmetry and Singular Potentials" by Das and Pernice [Nucl. Phys. B 561 (1999) 357]
• Exact Solutions of the Schrödinger Equation with position-dependent effective mass via general point canonical transformation
• $\eta$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians
• PT-symmetry and Integrability