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Two-Dimensional Motion of a Slow Quantum Particle in the Field of a Central Long-Range Potential

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Abstract

We study the two-dimensional motion of a slow quantum particle in the field of a central long-range potential decaying in the limit of long distances r as the power r−β with the exponent β ∈ (1, 2). We find the low-temperature asymptotic behavior for all partial phases and the differential cross section of the particle scattering and derive a rather simple approximation for the weakly bound state energy.

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Authors and Affiliations

  1. Joint Institute of Nuclear Research, Dubna, Moscow Oblast, Russia

    V. V. Pupyshev

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  1. V. V. Pupyshev
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Correspondence to V. V. Pupyshev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 199, No. 3, pp. 405–428, June, 2019.

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Pupyshev, V.V. Two-Dimensional Motion of a Slow Quantum Particle in the Field of a Central Long-Range Potential. Theor Math Phys 199, 828–848 (2019). https://doi.org/10.1134/S0040577919060059

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  • DOI: https://doi.org/10.1134/S0040577919060059

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