The Resonance Phenomena Associated with the Time Asymmetry in Non-Hermitian Quantum Mechanics

被引：0
|
作者：
Nimrod Moiseyev
Romanas Narevich
机构：
[1] Israel Institute of Technology,Department of Chemistry and Minerva Center of Nonlinear Physics in Complex Systems Technion—
[2] Optun Inc.,MTM Scientific Industries Center
来源：
International Journal of Theoretical Physics | 2003年 / 42卷
关键词：
resonance; time asymmetry; non-Hermitian quantum mechanics;
D O I：
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学科分类号：
摘要：
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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页码：2131 / 2143
页数：12
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