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On the Time-Dependent Analysis of Gamow Decay

Abstract:

Gamow's explanation of the exponential decay law uses complex "eigenvalues" and exponentially growing "eigenfunctions". This raises the question, how Gamow's description fits into the quantum mechanical description of nature, which is based on real eigenvalues and square integrable wave functions. Observing that the time evolution of any wave function is given by its expansion in generalized eigenfunctions, we shall answer this question in the most straightforward manner, which at the same ti...

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Publication status:
Published

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Publisher copy:
10.1088/0143-0807/32/5/019

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Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Role:
Author
Journal:
Eur. J. Phys.
Volume:
32
Issue:
5
Pages:
1311
Publication date:
2010-11-24
DOI:
EISSN:
1361-6404
ISSN:
0143-0807
Keywords:
Pubs id:
pubs:104672
UUID:
uuid:1b8d3452-42ab-4fda-a254-bd575add85cd
Local pid:
pubs:104672
Source identifiers:
104672
Deposit date:
2012-12-19

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