Spectroscopy of a singular linear oscillator

It is shown that a delta-shaped term V(x) = Ωδ(x) changes radically the linear oscillator spectroscopy and in some limiting cases leads to the production of anomalous double degenerate energy levels for one-dimensional quantum mechanics and to the falling of a particle onto the centre.

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Bibliographic Details
Published in:Physics letters. A 1987-09, Vol.124 (4), p.233-236
Main Authors: Avakian, M.P., Pogosyan, G.S., Sissakian, A.N., Ter-Antonyan, V.M.
Format: Article
Language:English
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Summary:It is shown that a delta-shaped term V(x) = Ωδ(x) changes radically the linear oscillator spectroscopy and in some limiting cases leads to the production of anomalous double degenerate energy levels for one-dimensional quantum mechanics and to the falling of a particle onto the centre.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(87)90627-X