| Title:
|
Exponential decay law and irreversibility of decay and collision processes (English) |
| Author:
|
Alda, Václav |
| Author:
|
Kundrát, Vojtěch |
| Author:
|
Lokajíček, Miloš Václav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
19 |
| Issue:
|
5 |
| Year:
|
1974 |
| Pages:
|
307-315 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. () |
| MSC:
|
47A40 |
| idZBL:
|
Zbl 0316.47010 |
| idMR:
|
MR0359608 |
| DOI:
|
10.21136/AM.1974.103547 |
| . |
| Date available:
|
2008-05-20T17:59:39Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103547 |
| . |
| Reference:
|
[1] Williams D. N.: Difficulty with a kinematic concept of unstable particles: the SZ.-NAGY extension and the Matthews-Salam-Zwanziger representation.Comm. Math. Phys. (1971), 21, 314-333. Zbl 0209.45102, MR 0297273, 10.1007/BF01645753 |
| Reference:
|
[2] Horowitz L. P., al: The inverse decay problem.J. Math. Phys. (1971), 12, 2537-2543. MR 0290716, 10.1063/1.1665570 |
| Reference:
|
[3] Sinha K.: On the decay of an unstable particle.Helv. Phys. Acta (1972), 45, 619-628. MR 0418743 |
| Reference:
|
[4] Lax P., Phillips R. S.: Scattering theory.Academic Press, New York-London, 1967. Zbl 0214.12002, MR 0217440 |
| Reference:
|
[5] Fonda L., Ghirardi G. C.: Some remarks on the origin of the deviations from the exponential decay law of an unstable particle.Nuovo Cimento (1972), 10 A, 850. MR 0307619 |
| . |
