Models with non-Hermitian Hamiltonian and optical theorem

2014/08/14 by Valeriy Nazaruk, Nazaruk, Valeriy
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #nucl-th

paper · pdf · doi:10.48550/arxiv.1408.3295

8 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1403.3576

arxiv created 2015/04/28 · arxiv updated 2015/04/29

Abstract

The applicability of the optical theorem in the models with the non-Hermitian Hamiltonian is studied. By way of example we consider the nn transition in a medium followed by annihilation. It is shown that an application of optical theorem for the non-unitary S-matrix leads to the qualitative error in the result. The lower limit on the free-space nn oscillation time τ calculated by means of the model with Hermitian Hamiltonian lies in the range 10¹⁶ \rm yr>τ>1.2⋅ 10⁹ \rm s.

Citations

• Optical theorem and unitarity

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