Bloch oscillations in one-dimensional solids and solitary wave packets

DOI10.1063/1.526825zbMath0572.73039OpenAlexW2091011758MaRDI QIDQ3690326

Marshall Luban

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526825

zbMATH Keywords

exact solutionelectronsolitary wave packetsquasiclassical dynamicsarbitrary angular and time-dependent external potentialconstant uniform electric fieldfully quantum-mechanical analog of the well-known Bloch oscillationsidealized one-dimensional periodic solidmapping the electron Schrödinger equation to the exactly solvable problem of a quantum planar rotor in the eikonal limitsingle-band time-dependent Schrödinger equationwave functions are necessarily periodic in time

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Schrödinger operator, Schrödinger equation (35J10) Many-body theory; quantum Hall effect (81V70) Waves in solid mechanics (74J99)

Related Items (1)

Comments on exact solutions for a one-dimensional periodic solid

Cites Work

• Definition of Energy Bands in the Presence of an External Force Field

This page was built for publication: Bloch oscillations in one-dimensional solids and solitary wave packets