On the description of classical reflectionless potentials

N. G. Khimchenko; Ya G. Sinai

doi:10.1016/0034-4877(84)90071-5

On the description of classical reflectionless potentials

N. G. Khimchenko, Ya G. Sinai

Research output: Contribution to journal › Article › peer-review

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Abstract

A repulsive potential is called reflectionless in the case of classical mechanics if limit velocities of one-dimensional particles as t → ∞ arise from the analogous velocities as t → - ∞ by changing order. The class reflectionless potentials is investigated inside the classes of potentials with the finite range and potentials decaying as a power function of the distance.

Original language	English (US)
Pages (from-to)	53-63
Number of pages	11
Journal	Reports on Mathematical Physics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1016/0034-4877(84)90071-5
State	Published - Aug 1984

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1016/0034-4877(84)90071-5

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title = "On the description of classical reflectionless potentials",

abstract = "A repulsive potential is called reflectionless in the case of classical mechanics if limit velocities of one-dimensional particles as t → ∞ arise from the analogous velocities as t → - ∞ by changing order. The class reflectionless potentials is investigated inside the classes of potentials with the finite range and potentials decaying as a power function of the distance.",

author = "Khimchenko, \{N. G.\} and Sinai, \{Ya G.\}",

year = "1984",

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doi = "10.1016/0034-4877(84)90071-5",

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pages = "53--63",

journal = "Reports on Mathematical Physics",

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AU - Khimchenko, N. G.

AU - Sinai, Ya G.

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N2 - A repulsive potential is called reflectionless in the case of classical mechanics if limit velocities of one-dimensional particles as t → ∞ arise from the analogous velocities as t → - ∞ by changing order. The class reflectionless potentials is investigated inside the classes of potentials with the finite range and potentials decaying as a power function of the distance.

AB - A repulsive potential is called reflectionless in the case of classical mechanics if limit velocities of one-dimensional particles as t → ∞ arise from the analogous velocities as t → - ∞ by changing order. The class reflectionless potentials is investigated inside the classes of potentials with the finite range and potentials decaying as a power function of the distance.

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U2 - 10.1016/0034-4877(84)90071-5

DO - 10.1016/0034-4877(84)90071-5

M3 - Article

AN - SCOPUS:48549111775

SN - 0034-4877

VL - 20

SP - 53

EP - 63

JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

IS - 1

ER -

On the description of classical reflectionless potentials

Abstract

All Science Journal Classification (ASJC) codes

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