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An effective hamiltonian for the optical properties of silicon and germanium
Author(s) -
Dresselhaus G.,
Dresselhaus M. S.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560010661
Subject(s) - hamiltonian (control theory) , germanium , silicon , physics , fourier transform , chemistry , materials science , computational chemistry , quantum mechanics , mathematics , optoelectronics , mathematical optimization
An effective Hamiltonian which yields the observed optical properties of silicon and germanium is presented. The form of the Hamiltonian depends upon crystal symmetry and is based on a Fourier expansion for the energy bands. This Hamiltonian is closely related to the Slater‐Koster interpolation scheme and has been applied as an interpolation scheme for experimental data.