Anomalies in nonrelativistic quantum mechanics

Details Anomalies in nonrelativistic quantum mechanics Anomalies in nonrelativistic quantum mechanics

1999-03-30

arxiv.org/abs/quant-ph/9903092v1

Theor.Math.Phys. 109 (1996) 1342-1344; Teor.Mat.Fiz. 109N1 (1996) 124-127

Physics

Quantum Physics

5 pages

Scientific paper

It is shown that if a potential in a nonrelativistic system of Fermi particles has a sufficiently strong singularity, anomalies (nonzero values of quantities formally equal to zero) will probably appear. For different types of singularities (in paticular, for the Coulomb potential), anomalies associated with the energy and total number of particles in the system are calculated. These anomalies may be beneficial in deriving a semiclassical description of electron- nuclear systems.

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