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Reciprocity in Parity Violating Non-Hermitian Systems

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Abstract

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.

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Acknowledgments

BKM and BPM acknowledge the financial support from the Department of Science and Technology (DST), Gov. of India under SERC project sanction grant No. SR/S2/HEP-0009/2012. AG acknowledges the Council of Scientific & Industrial Research (CSIR), India for Senior Research Fellowship.

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Correspondence to Bhabani Prasad Mandal.

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Ghatak, A., Mourya, B.K., Mandal, R.D.R. et al. Reciprocity in Parity Violating Non-Hermitian Systems. Int J Theor Phys 54, 3945–3953 (2015). https://doi.org/10.1007/s10773-014-2424-y

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  • DOI: https://doi.org/10.1007/s10773-014-2424-y

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