Quantum Hamilton-Jacobi analysis of PT symmetric Hamiltonians
arXiv:quant-ph/0403054 · doi:10.1142/S0217751X05022810
Abstract
We apply the quantum Hamilton-Jacobi formalism, naturally defined in the complex domain, to a number of complex Hamiltonians, characterized by discrete parity and time reversal (PT) symmetries and obtain their eigenvalues and eigenfunctions. Examples of both quasi-exactly and exactly solvable potentials are analyzed and the subtle differences, in the singularity structures of their quantum momentum functions, are pointed out. The role of the PT symmetry in the complex domain is also illustrated.
11 pages
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Cited by in corpus (7)
- Pseudo-Hermiticity and some consequences of a generalized quantum condition
- Supersymmetry, PT-symmetry and Spectral Bifurcation
- The Quantum Effective Mass Hamilton-Jacobi Problem
- A complex periodic QES potential and exceptional points
- Energy spectra of Hartmann and ring-shaped oscillator potentials using the quantum Hamilton-Jacobi formalism
- The Generalized PT-Symmetric Sinh-Gordon Potential Solvable within Quantum Hamilton-Jacobi Formalism
- Invariant Eigen-Structure in Complex-Valued Quantum Mechanics