Spectral moments for systems described by an ensemble of hamiltonians

J. G. Muga, R. D. Levine

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We generalize Van Vleck's method of moments for disordered solid-state that can be described by an ensemble of hamiltonians. Special reference is made to N.M.R. spectroscopy. Inhomogeneous broadening for a sample of free spins and the more complex problem of interacting spins are discussed in detail. The cumulant expansion and the Liouville space formalism are introduced as tools to simplify the expressions for the moments and to obtain physical approximations. As a particular application the Sherrington-Kirkpatrick model for spin glasses is derived and interpreted physically.

Original languageEnglish
Pages (from-to)1225-1239
Number of pages15
JournalMolecular Physics
Volume67
Issue number6
DOIs
StatePublished - 20 Aug 1989

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