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Approximate symmetry relations for double group k · p expansions
Author(s) -
Broerman J. G.
Publication year - 1968
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.19680250229
Subject(s) - formalism (music) , physics , symmetry group , symmetry (geometry) , symmetry operation , quantum mechanics , germanium , mathematical physics , group theory , angular momentum , matrix (chemical analysis) , group (periodic table) , theoretical physics , mathematics , pure mathematics , geometry , chemistry , art , musical , optoelectronics , chromatography , silicon , visual arts
A recent calculation [9] of the energies of the Δ 7 (“extra”) representations of the double group of the wave vector Δ in germanium is examined. This calculation employs a double group formalism in which matrix elements of the momentum connecting Γ 7 + and Γ 8 + with other states are independent. It is here shown that there exist symmetry relations between these matrix elements which are only weakly broken by interband spin‐orbit interaction, and that it is thus not physically meaningful to regard the elements as independent.