Geodesic
Anomalies in non-relativistic quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 124-127 
D. A. Kirzhnits; G. V. Shpatakovskaya. Anomalies in non-relativistic quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 124-127. http://geodesic.mathdoc.fr/item/TMF_1996_109_1_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The violation of some formal relations (anomalies) for the system of non-relativistic fermi-particles is shown to appear when a singularity of the potential is rather strong. For different singularity types (in part for Coulomb potential) the anomalies associated with the system energy and total number of particles are calculated. These anomalies may be useful in the semiclassical description of electron-nuclear systems.

[1] Yu. N. Kafiev, Anomalii i teoriya strun, Nauka, Novosibirsk, 1991 ; А. Ю. Морозов, УФН, 150 (1986), 337 ; У. А. Бардин, УФН, 150 (1986), 439 | MR | Zbl | DOI | DOI

[2] D. A. Kirzhnits, G. V. Shpatakovskaya, Pisma v ZhETF, 59:7 (1994), 446; ЖЭТФ, 108:4(10) (1995), 1238

[3] A. I. Baz, Ya. B. Zeldovich, A. M. Perelomov, Rasseyanie, reaktsii i raspady v nerelyativistskoi kvantovoi mekhanike, Nauka, M., 1971 | Zbl