The energy spectrum of disordered systems

1964/10/01 by I.M. Lifshitz · 507 citations
Chemistry · Engineering · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Broad spectrum #Chemistry #Computer science #Condensed matter physics #Crystal (programming language) #Density of states #Energy spectrum #Imperfect #Impurity #Lattice (music) #Physics #Quantum mechanics #Spectrum (functional analysis) #Statistical physics #Surface and Thin Film Phenomena #Theoretical physics #Thermodynamic and Structural Properties of Metals and Alloys #Work (physics)

paper · doi:10.1080/00018736400101061

published in Advances In Physics 13(52), 483-536 (Taylor & Francis)

openalex publication_date 1964/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

(by Editor) A detailed report is given of the theoretical work carried out by the author during recent years on problems connected with the energy spectrum of a disordered solid. The treatment is general, with indications of applications to particular problems, such as the lattice vibrational spectrum of an imperfect crystal and the electronic levels associated with impurity atoms. Particular attention is given to the behaviour of the density of states (spectral density) of both the levels derived from those of the perfect crystal and the impurity levels. The effects of ordering of imperfections is considered, and some discussion of other approximations and models is given.

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