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Mechanics of particles with nonmonotonic dispersion laws

L. D. Shvartsman, D. A. Romanov, and J. E. Golub
Phys. Rev. A 50, R1969(R) – Published 1 September 1994
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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.

    DOI:https://doi.org/10.1103/PhysRevA.50.R1969

    ©1994 American Physical Society

    Authors & Affiliations

    L. D. Shvartsman, D. A. Romanov, and J. E. Golub

    • Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel

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    Issue

    Vol. 50, Iss. 3 — September 1994

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