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TMF, 1981 Volume 46, Number 3, Pages 321–324 (Mi tmf2338)

Energy levels of an oscillator with singular concentrated potential

O. G. Goryaga, Yu. M. Shirokov


Abstract: The algebra of generalized functions constructed earlier by Shirokov is used to solve the Schrödinger equation for a harmonic oscillator on which a singular concentrated potential acts. The small corrections to the energy levels due to this potential are obtained.

Received: 29.11.1980


 English version:
Theoretical and Mathematical Physics, 1981, 46:3, 210–212

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© Steklov Math. Inst. of RAS, 2024