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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2000 Volume 125, Number 1, Pages 74–90 (Mi tmf658)

This article is cited in 1 paper

Point interaction of two distinguishable particles in an external field

M. Kh. Shermatov

Uzbekistan Academy of Sciences, Samarkand Branch

Abstract: We consider a point interaction model for two particles in an external field, which is similar to the Skornyakov–Ter-Martirosyan model and is treated using the theory of self-adjoint extensions of symmetric operators. The corresponding energy operator has an infinite set of bound states with the energy values receding to $-\infty$.

Received: 20.03.2000

DOI: 10.4213/tmf658


 English version:
Theoretical and Mathematical Physics, 2000, 125:1, 1363–1376

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© Steklov Math. Inst. of RAS, 2026