Multichannel decay law
- It is well known, both theoretically and experimentally, that the survival probability for an unstable quantum state, formed at t=0, is not a simple exponential function, even if the latter is a good approximation for intermediate times. Typically, unstable quantum states/particles can decay in more than a single decay channel. In this work, the general expression for the probability that an unstable state decays into a certain i-th channel between the initial time t=0 and an arbitrary t>0 is provided, both for nonrelativistic quantum states and for relativistic particles. These partial decay probabilities are also not exponential and their ratio turns out to be not a simple constant, as it would be in the exponential limit. Quite remarkably, these deviations may last relatively long, thus making them potentially interesting in applications. Thus, multichannel decays represent a promising and yet unexplored framework to search for deviations from the exponential decay law in quantum mechanical systems, such as quantum tunneling, and in the context of particle decays.
Author: | Francesco GiacosaORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-784885 |
DOI: | https://doi.org/10.1016/j.physletb.2022.137200 |
ISSN: | 0370-2693 |
Parent Title (English): | Physics Letters B |
Publisher: | Elsevier |
Place of publication: | Amsterdam |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2022/05/26 |
Date of first Publication: | 2022/05/26 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2023/10/09 |
Volume: | 831 |
Issue: | 137200 |
Page Number: | 6 |
HeBIS-PPN: | 51358157X |
Institutes: | Physik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - CC BY - Namensnennung 4.0 International |