Geodesic
Exponential decay law and irreversibility of decay and collision processes
Applications of Mathematics, Tome 19 (1974) no. 5, pp. 307-315.

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It is assumed that any decay process is described in a Hilbert space $\Cal H=\oplus \Cal H_D$, where $\Cal H_A$ corresponds to an unstable particle and $\Cal H_D$ to its decay products. It is shown that the generalized Weisskopf-Wigner condition (which guarantees an exponential decay law of the given unstable particle) has a close relation to the irreversibility of decay processes as well as of collision ones described in the same space $\Cal H$. If unitarity is added the principal structure of $\Cal H$ is identical with that onwhich the scattering theory of Lax and Phillips is based.
DOI : 10.21136/AM.1974.103547
Classification : 47A40 
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     author = {Alda, V\'aclav and Kundr\'at, Vojt\v{e}ch and Lokaj{\'\i}\v{c}ek, Milo\v{s} V\'aclav},
     title = {Exponential decay law and irreversibility of decay and collision processes},
     journal = {Applications of Mathematics},
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Alda, Václav; Kundrát, Vojtěch; Lokajíček, Miloš Václav. Exponential decay law and irreversibility of decay and collision processes. Applications of Mathematics, Tome 19 (1974) no. 5, pp. 307-315. doi : 10.21136/AM.1974.103547. http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103547/

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