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QUANTUM HAMILTON–JACOBI ANALYSIS OF PT SYMMETRIC HAMILTONIANS

S. SREE RANJANI

School of Physics, University of Hyderabad, Hyderabad-500 046, India

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A. K. KAPOOR

School of Physics, University of Hyderabad, Hyderabad-500 046, India

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, and

P. K. PANIGRAHI

Physical Research Laboratory, Navrangpura, Ahmedabad-380 009, India

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https://doi.org/10.1142/S0217751X05022810Cited by:17 (Source: Crossref)

Abstract

We apply the quantum Hamilton–Jacobi formalism, naturally defined in the complex domain, to 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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