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Ghatak, Ananya; Mourya, Brijesh Kumar; Mandal, Raka Dona Ray; Mandal, Bhabani Prasad

Reciprocity in parity violating non-Hermitian systems. (English) Zbl 1329.81184

Int. J. Theor. Phys. 54, No. 11, 3945-3953 (2015).
Summary: Reciprocity is shown so far only when the scattering potential is either real or parity symmetric complex. We extend this result for parity violating complex potential by considering several explicit examples: (i) we show reciprocity for a PT symmetric (hence parity violating) complex potential which admits penetrating state solutions analytically for all possible values of incidence energy and (ii) reciprocity is shown to hold at certain discrete energies for two other parity violating complex potentials.

Cited in 1 Document

MSC:

81Q12 Nonselfadjoint operator theory in quantum theory including creation and destruction operators
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
81U05 \(2\)-body potential quantum scattering theory

Keywords:

reciprocity; complex scattering; PT symmetric non-Hermitian systems
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