Representation theory of finite abelian groups applied to a linear diatomic crystal | Zendy

J. N. Boyd | Zendy; Prishati Raychowdhury | Zendy

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Representation theory of finite abelian groups applied to a linear diatomic crystal

Author(s) -

J. N. Boyd,

Prishati Raychowdhury

Publication year - 1980

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/s0161171280000427

Subject(s) - mathematics , abelian group , diatomic molecule , symmetry (geometry) , projection (relational algebra) , symmetry group , matrix representation , matrix (chemical analysis) , mathematical analysis , pure mathematics , group (periodic table) , quantum mechanics , geometry , physics , algorithm , molecule , materials science , composite material

After a brief review of matrix representations of finite abelian groups, projection operators are defined and used to compute symmetry coordinates for systems of coupled harmonic oscillators. The Lagrangian for such systems is discussed in the event that the displacements along the symmetry coordinates are complex. Lastly, the natural frequencies of a linear, diatomic crystal are determined through application of the Born cyclic condition and the determination of the symmetry coordinates

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