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arXiv · 1011.6084

On the Time-Dependent Analysis of Gamow Decay

Detlef Dürr·Robert Grummt·Martin Kolb
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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 time is accessible to graduate students and specialists. Moreover the presentation can well be used in physics lectures to students.

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Detlef Dürr, Robert Grummt, Martin Kolb. 2011-07-01. On the Time-Dependent Analysis of Gamow Decay. https://doi.org/10.1088/0143-0807%2F32%2F5%2F019

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