Quantum Hamilton-Jacobi analysis of PT symmetric Hamiltonians

Physics – Quantum Physics

Scientific paper

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11 pages

Scientific paper

10.1142/S0217751X05022810

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.

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