Mechanics of particles with nonmonotonic dispersion laws

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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 languageAmerican English
Pages (from-to)R1969-R1972
JournalPhysical Review A
Issue number3
StatePublished - 1994


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