Singular center as a nongravitational black hole

A. E. Shabad

Lebedev Physical Institute, RAS, Moscow, Russia

Abstract: We consider the interpretation of a singular center in quantum mechanics as a black hole in application to the exactly solvable problem of the three-dimensional oscillator with a complex-valued angular momentum, also known as the generalized Calogero problem.

Keywords: singular potential, fall to the center, quantum mechanical black hole.

Received: 27.06.2014
Revised: 18.07.2014

DOI: 10.4213/tmf8749

 English version: Theoretical and Mathematical Physics, 2014, 181:3, 1643–1651

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