Email this article Two-Dimensional Motion of a Slow Quantum Particle in the Field of a Central Long-Range Potential
- Authors: Pupyshev V.V.1
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Affiliations:
- Joint Institute of Nuclear Research
- Issue: Vol 199, No 3 (2019)
- Pages: 828-848
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/172289
- DOI: https://doi.org/10.1134/S0040577919060059
- ID: 172289
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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.
About the authors
V. V. Pupyshev
Joint Institute of Nuclear Research
Author for correspondence.
Email: pupyshev@theor.jinr.ru
Russian Federation, Dubna, Moscow Oblast
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