Invariant states for the time dynamics of a class of multidimensional lattice quantum Fermi systems
The study of invariant states of fermionic lattice systems begun earlier is contined. Under the assumption that the time dynamics corresponds to a (formal) HamiltonianH 0 and the invariant state ? is a KMS state for some “Hamiltonian”H [1], one-dimensional lattice Fermi systems were considered in th...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 1993
- Institución:
- Universidad del Rosario
- Repositorio:
- Repositorio EdocUR - U. Rosario
- Idioma:
- eng
- OAI Identifier:
- oai:repository.urosario.edu.co:10336/26000
- Acceso en línea:
- https://doi.org/10.1007/BF01016995
https://repository.urosario.edu.co/handle/10336/26000
- Palabra clave:
- Quadratic Form
Lattice System
Time Dynamic
Annihilation Operator
Arbitrary Dimension
- Rights
- License
- Restringido (Acceso a grupos específicos)
| Summary: | The study of invariant states of fermionic lattice systems begun earlier is contined. Under the assumption that the time dynamics corresponds to a (formal) HamiltonianH 0 and the invariant state ? is a KMS state for some “Hamiltonian”H [1], one-dimensional lattice Fermi systems were considered in the earlier work. In particular, the case whenH 0 is not a quadratic form in the creation and annihilation operators and all nonquadratic terms inH 0 are diagonal was studied. In this case, it was shown that up to an arbitrary diagonal quadratic formN the HamiltonianH is proportional toH 0, i.e., that ? is a KMS state of ?H 0+N. In this paper, we obtain a similar result for Fermi systems of arbitrary dimension by a somewhat different method to the one used earlier [1]. |
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