New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics

2020/03/01 by Mohammad Hasan, Bhabani Prasad Mandal · 3 citations
Physics and Astronomy · Mathematics · #Quantum Mechanics and Non-Hermitian Physics #Algebraic and Geometric Analysis #Quantum and Classical Electrodynamics

paper · doi:10.1063/1.5117873

Abstract

Spectral singularities have been extensively studied over the last one and half decades for different non-Hermitian potentials in non-Hermitian quantum mechanics. The nature of spectral singularities has not been studied for the case of quaternionic potential. In the present work, we perform an analytical study on scattering from a quaternionic point interaction represented by a delta function. New features of spectral singularities are observed, which are different than the case of a complex (non-quaternionic) point interaction. The most notable difference is the occurrence of spectral singularity from the lossy point interaction, which is forbidden in the case of standard non-Hermitian quantum mechanics.

Citations

• The Logic of Quantum Mechanics

Cited by

• Quantum tunneling from a new type of generalized Smith-Volterra-Cantor potential
• Klein-Gordon equation within the real Hilbert space formalism
• Expectation value dynamics within real Hilbert space quantum mechanics

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