${\mathcal L}^{\otimes N}$—Generalization of Partial Algebraization Method for spectral Problems and Heisenberg Model
- Resource Type
- Authors
- Shen Hong; Sun Changpu; Song Zhi
- Source
- Communications in Theoretical Physics. 14:173-180
- Subject
- Numeral system
Pure mathematics
Physics and Astronomy (miscellaneous)
Heisenberg model
Generalization
Lie algebra
Spectrum (functional analysis)
Coupling (probability)
Eigenvalues and eigenvectors
Direct product
Mathematics
- Language
- ISSN
- 0253-6102
In terms of the -multiple direct product of Lie algebra the method of partial algebraization for quantal spectrum problems is generalized to deal with the cases of many-mode coupling. Using this generalized method to the antiferromagnetic Heisenberg model, we explicitly obtain some analytic and numeral results for the eigenstates and eigenvalues.