dorsal/arxiv
View SchemaQuantum Hamilton-Jacobi analysis of PT symmetric Hamiltonians
| Authors | S. Sree Ranjani, A. K. Kapoor, Prasanta K. Panigrahi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403054 |
| URL | https://arxiv.org/abs/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.
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"abstract": "We apply the quantum Hamilton-Jacobi formalism, naturally defined in the\ncomplex domain, to a number of complex Hamiltonians, characterized by discrete\nparity and time reversal (PT) symmetries and obtain their eigenvalues and\neigenfunctions. Examples of both quasi-exactly and exactly solvable potentials\nare analyzed and the subtle differences, in the singularity structures of their\nquantum momentum functions, are pointed out. The role of the PT symmetry in the\ncomplex domain is also illustrated.",
"arxiv_id": "quant-ph/0403054",
"authors": [
"S. Sree Ranjani",
"A. K. Kapoor",
"Prasanta K. Panigrahi"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217751X05022810",
"title": "Quantum Hamilton-Jacobi analysis of PT symmetric Hamiltonians",
"url": "https://arxiv.org/abs/quant-ph/0403054"
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