Relationship between Hamiltonian and one-spin transfer-matrix descriptions of Ising systems
Journal Article
·
· Phys. Rev. B: Condens. Matter; (United States)
A close correspondence is demonstrated between the quanatum Hamiltonian for an Ising model in d space dimensions and continuous time with the one-spin transfer matrix for a (d+1)-dimensional Ising model. The analysis is done analytically, showing the relation in detail of the eigenvectors and eigenvalues of the two problems.
- Research Organization:
- Department of Physics, Purdue University, West Lafayette, Indiana 47907
- OSTI ID:
- 6000758
- Journal Information:
- Phys. Rev. B: Condens. Matter; (United States), Vol. 35:4
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ISING MODEL
HAMILTONIANS
TRANSFER MATRIX METHOD
BOUNDARY CONDITIONS
GROUND STATES
PARTITION FUNCTIONS
QUANTUM MECHANICS
CRYSTAL MODELS
ENERGY LEVELS
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM OPERATORS
656000* - Condensed Matter Physics
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ISING MODEL
HAMILTONIANS
TRANSFER MATRIX METHOD
BOUNDARY CONDITIONS
GROUND STATES
PARTITION FUNCTIONS
QUANTUM MECHANICS
CRYSTAL MODELS
ENERGY LEVELS
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM OPERATORS
656000* - Condensed Matter Physics