Time Evolution of a Decaying Quantum State: Evaluation and Onset of Non-Exponential Decay

• URL: http://arxiv.org/abs/2205.14670v2
• Date: Sun, 9 Oct 2022 20:50:20 GMT
• Title: Time Evolution of a Decaying Quantum State: Evaluation and Onset of Non-Exponential Decay
• Authors: Markus N\"oth
• Abstract summary: The long time behavior is extracted and employed to predict the timescale for the onset of non-exponential decay. The method is illustrated with a Gaussian initial wave function leaking through Eckart's potential barrier on the halfline.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The method developed by Van Dijk, Nogami and Toyama for obtaining the time-evolved wave function of a decaying quantum system is generalized to potentials and initial wave functions of non-compact support. The long time asymptotic behavior is extracted and employed to predict the timescale for the onset of non-exponential decay. The method is illustrated with a Gaussian initial wave function leaking through Eckart's potential barrier on the halfline.

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