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Electrons in finite one‐dimensional crystals in a uniform electric field
Author(s) -
Yang E.
Publication year - 1976
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220780241
Subject(s) - electric field , electron , boundary value problem , physics , field (mathematics) , electric potential , boundary (topology) , wave function , condensed matter physics , electric flux , function (biology) , quantum electrodynamics , optical field , quantum mechanics , mathematics , mathematical analysis , voltage , pure mathematics , evolutionary biology , biology
By using the time‐dependent Schrödinger equation, the problem of an electron in a one‐dimensional crystal in the presence of a uniform electric field is treated. It is shown that there are two types of electric‐field‐induced energy levels; one is so called Stark ladders and the other is simply due to different boundary conditions. When “appropriate boundary conditions” are imposed on the wave function it is found that the number of periodic potential cells involved in the calculation plays a vital role in determining the existence of Stark ladders. Also, the dynamics of an electron in a one‐dimensional potential well subject to a uniform electric field is studied.