The Resonance Phenomena Associated with the Time Asymmetry in Non-Hermitian Quantum Mechanics |
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Authors: | Nimrod Moiseyev Romanas Narevich |
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Institution: | (1) Department of Chemistry and Minerva Center of Nonlinear Physics in Complex Systems Technion—, Israel Institute of Technology, Haifa, Israel;(2) MTM Scientific Industries Center, Optun Inc., Haifa, Israel |
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Abstract: | Resonances are defined as the poles of the scattering matrix. The poles are associated with the complex eigenvalues of the Hamiltonian which are embedded in the lower half of the complex plane. The asymptotes of the corresponding eigenfunctions are exponentially diverged. Therefore, the resonance eigenfunctions are not embedded in the Hermitian domain of the Hamiltonian. The time asymmetric problem is discussed for these types of non-Hermitian Hamiltonians and several solutions of this problem are proposed. |
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Keywords: | resonance time asymmetry non-Hermitian quantum mechanics |
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