Shift operator matrix-size reduction through symmetry considerations

✍ Scribed by J. Li; R.B. McQuistan

• Book ID: 103894090
• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 611 KB
• Volume: 179
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(91)90094-s

✦ Synopsis

Shift operator matrix-size reduction through symmetry considerations Keccived 6 April IYYI A method, based on symmetry considerations. is prcscntcd by which the size of the shift operator matrix appropriate to an M x x lattice with periodic boundary conditions (in the M-direction) can be reduced by a factor of M '. Since the computation time required to obtain the eigenvnlues of these matrices is ('[(lattice size)'], the reduction decreases the time necessary for such calculations hy approximately M i As an example of the utility of the method presented. we consider the thermodynamic propcrtics of a monolayer lattice gas system over the entire range of coverage and temperature. A comparison between calculation\ using the usual shift operator matrix and the symmetry-reduced shift operator matrix with analytic results (which arc restricted to H = I ) a1 critical point demonstrates the validity of the matrix-sire reduction techniques presented hew.