Title
Counting operator analysis of the discrete spectrum of some model Hamiltonians Counting operator analysis of the discrete spectrum of some model Hamiltonians
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Source (journal)
Physics letters: A. - Amsterdam, 1967, currens
Volume/pages
373(2009) :38 , p. 3419-3422
ISSN
0375-9601
ISI
000269990200005
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The first step in the counting operator analysis of the spectrum of any model Hamiltonian H is the choice of a Hermitean operator M in such a way that the third commutator with H is proportional to the first commutator. Next one calculates operators R and R which share some of the properties of creation and annihilation operators, and are such that M becomes a counting operator. The spectrum of H is then decomposed into multiplets, not determined by symmetries of H, but by those of a reference Hamiltonian Href, which is defined by Href=H−R−R, and which commutes with M. Finally, we introduce the notion of stable eigenstates. It is shown that under rather weak conditions one stable eigenstate can be used to construct another one.
E-info
https://repository.uantwerpen.be/docman/iruaauth/10ddbb/d23a4547630.pdf
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