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Point interaction of two distinguishable particles in an external field

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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-∞.

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Authors and Affiliations

  1. Samarkand Branch, Academy of Science of the Republic of Uzbekistan, Samarkand, Uzbekistan

    M. Kh. Shermatov

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  1. M. Kh. Shermatov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 125, No. 1, pp. 74–90, October, 2000.

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Shermatov, M.K. Point interaction of two distinguishable particles in an external field. Theor Math Phys 125, 1363–1376 (2000). https://doi.org/10.1007/BF02551042

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  • DOI: https://doi.org/10.1007/BF02551042

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