Mechanics of particles with nonmonotonic dispersion laws

L. D. Shvartsman; D. A. Romanov; J. E. Golub

doi:10.1103/PhysRevA.50.R1969

Mechanics of particles with nonmonotonic dispersion laws

L. D. Shvartsman^*
, D. A. Romanov
, J. E. Golub

^*Corresponding author for this work

Racah Institute of Physics

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

10 Scopus citations

Abstract

Motivated by the behavior of carriers in various condensed systems, we formulate and discuss the mechanics of a particle described by a nonmonotonic dispersion law. For illustration, we consider the scattering of a particle with a @sw-shaped dispersion law by a one-dimensional potential barrier. The negative mass feature of the dispersion gives rise to a number of unusual phenomena, including barrier penetration by a classical particle, particle trapping by the barrier, and scattering resonances in both transmission and reflection.

Original language	English
Pages (from-to)	R1969-R1972
Journal	Physical Review A
Volume	50
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.50.R1969
State	Published - 1994

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10.1103/PhysRevA.50.R1969

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abstract = "Motivated by the behavior of carriers in various condensed systems, we formulate and discuss the mechanics of a particle described by a nonmonotonic dispersion law. For illustration, we consider the scattering of a particle with a @sw-shaped dispersion law by a one-dimensional potential barrier. The negative mass feature of the dispersion gives rise to a number of unusual phenomena, including barrier penetration by a classical particle, particle trapping by the barrier, and scattering resonances in both transmission and reflection.",

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N2 - Motivated by the behavior of carriers in various condensed systems, we formulate and discuss the mechanics of a particle described by a nonmonotonic dispersion law. For illustration, we consider the scattering of a particle with a @sw-shaped dispersion law by a one-dimensional potential barrier. The negative mass feature of the dispersion gives rise to a number of unusual phenomena, including barrier penetration by a classical particle, particle trapping by the barrier, and scattering resonances in both transmission and reflection.

AB - Motivated by the behavior of carriers in various condensed systems, we formulate and discuss the mechanics of a particle described by a nonmonotonic dispersion law. For illustration, we consider the scattering of a particle with a @sw-shaped dispersion law by a one-dimensional potential barrier. The negative mass feature of the dispersion gives rise to a number of unusual phenomena, including barrier penetration by a classical particle, particle trapping by the barrier, and scattering resonances in both transmission and reflection.

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Mechanics of particles with nonmonotonic dispersion laws

Abstract

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