Geodesic
On phase instability in the case of scattering by a~random potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 2, pp. 219-229

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A study is made of a nonrelativistic model problem of the stability of phase functions in the case of scattering of a particle by a random time-independent potential. It is shown that the phase functions may be either stable or unstable depending on the parameters of the problem; a criterion is given for the changeover from stable to unstable conditions. In the latter case, the Usual quantum-mechanical treatment is incorrect and one must introduce an additional averaging procedure. This is a necessary sign of the statistical nature of the system. The instability criterion obtained is used in a discussion of the properties of intermediate compound systems that arise in the interaction of hadrons with nuclei and with one another. 
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     author = {N. M. Pukhov and D. S. Chernavskii},
     title = {On phase instability in the case of scattering by a~random potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_7_2_a6/}
}
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N. M. Pukhov; D. S. Chernavskii. On phase instability in the case of scattering by a~random potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 2, pp. 219-229. http://geodesic.mathdoc.fr/item/TMF_1971_7_2_a6/