dorsal/arxiv
View SchemaScattering in PT-symmetric quantum mechanics
| Authors | F. Cannata, J. -P. Dedonder, A. Ventura |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606129 |
| URL | https://arxiv.org/abs/quant-ph/0606129 |
| DOI | 10.1016/j.aop.2006.05.011 |
| Journal | Ann. Phys. 322 (2007) 397 |
Abstract
A general formalism is worked out for the description of one-dimensional scattering in non-hermitian quantum mechanics and constraints on transmission and reflection coefficients are derived in the cases of P, T, or PT invariance of the Hamiltonian. Applications to some solvable PT-symmetric potentials are shown in detail. Our main original results concern the association of reflectionless potentials with asymptotic exact PT symmetry and the peculiarities of separable kernels of non-local potentials in connection with hermiticity, T invariance and PT invariance.
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"abstract": "A general formalism is worked out for the description of one-dimensional\nscattering in non-hermitian quantum mechanics and constraints on transmission\nand reflection coefficients are derived in the cases of P, T, or PT invariance\nof the Hamiltonian. Applications to some solvable PT-symmetric potentials are\nshown in detail. Our main original results concern the association of\nreflectionless potentials with asymptotic exact PT symmetry and the\npeculiarities of separable kernels of non-local potentials in connection with\nhermiticity, T invariance and PT invariance.",
"arxiv_id": "quant-ph/0606129",
"authors": [
"F. Cannata",
"J. -P. Dedonder",
"A. Ventura"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.aop.2006.05.011",
"journal_ref": "Ann. Phys. 322 (2007) 397",
"title": "Scattering in PT-symmetric quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0606129"
},
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