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| related topics |
| {equation, function, exp} |
| {operator, operators, space} |
| {wave, scattering, interference} |
| {cos, sin, state} |
| {states, state, optimal} |
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Scattering in PT-symmetric quantum mechanics
F. Cannata, J. -P. Dedonder, A. Ventura
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0606129
- categories:
- quant-ph
- comments:
- 41 pages, to appear in Ann. Phys
- arxiv_id:
- quant-ph/0606129
- journal_ref:
- Ann. Phys. 322 (2007) 397
- created:
- 2006-06-15
- updated:
- 2006-07-18
Full article ▸
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