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The Rotational Invariance Condition in Lattice Dynamics
Author(s) -
Rajagopal E. S.
Publication year - 1960
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19604610311
Subject(s) - rotational invariance , lattice (music) , physics , classical mechanics , statistical physics , theoretical physics , quantum mechanics , acoustics
The note discusses the validity of the rotational invariance condition used in lattice dynamics. It is pointed out that rotations of non‐central fields cannot be represented by displacements alone. Formulating the equations of lattice dynamics referred to Lagrangean co‐ordinates imbedded in the crystal it is shown that the usual formulae do not strictly represent the physical requirement of rotational invariance. The result has considerable effect on several applications of the lattice theory.