Geodesic
Anomalies in non-relativistic quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 124-127

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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. 
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     author = {D. A. Kirzhnits and G. V. Shpatakovskaya},
     title = {Anomalies in non-relativistic quantum mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {109},
     number = {1},
     year = {1996},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1996_109_1_a10/}
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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/