Counting operator analysis of the discrete spectrum of some model Hamiltonians

Details Counting operator analysis of the discrete spectrum of some model Hamiltonians Counting operator analysis of the discrete spectrum of some model Hamiltonians

2008-11-19

arxiv.org/abs/0811.3073v2

Physics

Condensed Matter

Strongly Correlated Electrons

Added references, improved presentation

Scientific paper

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^\dagger which share some of the properties of creation and annihilation operators, and such that $M$ becomes a counting operator. The spectrum of H is then decomposed into multiplets, not determined by the symmetries of H, but by those of a reference Hamiltonian H_ref, which is defined by H_ref=H-R-R^\dagger, 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.

Affiliated with

Also associated with

No associations

Rating

Counting operator analysis of the discrete spectrum of some model Hamiltonians does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Counting operator analysis of the discrete spectrum of some model Hamiltonians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Counting operator analysis of the discrete spectrum of some model Hamiltonians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-429053