Invariant states for the time dynamics of a class of multidimensional lattice quantum Fermi systems

N. E. Ratanov, Yu M. Sukhov

Resultado de la investigación: Contribución a RevistaArtículo

Resumen

The study of invariant states of fermionic lattice systems begun earlier is contined. Under the assumption that the time dynamics corresponds to a (formal) Hamiltonian H0 and the invariant state φ is a KMS state for some "Hamiltonian"H [1], one-dimensional lattice Fermi systems were considered in the earlier work. In particular, the case when H0 is not a quadratic form in the creation and annihilation operators and all nonquadratic terms in H0 are diagonal was studied. In this case, it was shown that up to an arbitrary diagonal quadratic form N the Hamiltonian H is proportional to H0, i.e., that φ is a KMS state of βH0+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]. © 1993 Plenum Publishing Corporation.
Idioma originalEnglish (US)
Páginas (desde-hasta)55-60
Número de páginas6
PublicaciónTheoretical and Mathematical Physics
DOI
EstadoPublished - ene 1 1993

Huella dactilar

KMS States
Quadratic form
Invariant
Lattice System
Arbitrary
Annihilation
operators
Directly proportional
Term
Operator
Class

Citar esto

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Invariant states for the time dynamics of a class of multidimensional lattice quantum Fermi systems. / Ratanov, N. E.; Sukhov, Yu M.

En: Theoretical and Mathematical Physics, 01.01.1993, p. 55-60.

Resultado de la investigación: Contribución a RevistaArtículo

TY - JOUR

T1 - Invariant states for the time dynamics of a class of multidimensional lattice quantum Fermi systems

AU - Ratanov, N. E.

AU - Sukhov, Yu M.

PY - 1993/1/1

Y1 - 1993/1/1

N2 - The study of invariant states of fermionic lattice systems begun earlier is contined. Under the assumption that the time dynamics corresponds to a (formal) Hamiltonian H0 and the invariant state φ is a KMS state for some "Hamiltonian"H [1], one-dimensional lattice Fermi systems were considered in the earlier work. In particular, the case when H0 is not a quadratic form in the creation and annihilation operators and all nonquadratic terms in H0 are diagonal was studied. In this case, it was shown that up to an arbitrary diagonal quadratic form N the Hamiltonian H is proportional to H0, i.e., that φ is a KMS state of βH0+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]. © 1993 Plenum Publishing Corporation.

AB - The study of invariant states of fermionic lattice systems begun earlier is contined. Under the assumption that the time dynamics corresponds to a (formal) Hamiltonian H0 and the invariant state φ is a KMS state for some "Hamiltonian"H [1], one-dimensional lattice Fermi systems were considered in the earlier work. In particular, the case when H0 is not a quadratic form in the creation and annihilation operators and all nonquadratic terms in H0 are diagonal was studied. In this case, it was shown that up to an arbitrary diagonal quadratic form N the Hamiltonian H is proportional to H0, i.e., that φ is a KMS state of βH0+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]. © 1993 Plenum Publishing Corporation.

U2 - 10.1007/BF01016995

DO - 10.1007/BF01016995

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EP - 60

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

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