ISSN:
1573-9333
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract 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 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 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 φ is a KMS state of βH 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].
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01016995
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