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The Quartic Oscillator: a Non-Perturbative Study by Continuous Unitary Transformations

Strongly Correlated Electrons 2009-11-10 v2

Abstract

The quantum quartic oscillator is investigated in order to test the many-body technique of the continuous unitary transformations. The quartic oscillator is sufficiently simple to allow a detailed study and comparison of various approximation schemes. Due to its simplicity, it can be used as pedagogical introduction in the unitary transformations. Both the spectrum and the spectral weights are discussed.

Keywords

Cite

@article{arxiv.cond-mat/0405166,
  title  = {The Quartic Oscillator: a Non-Perturbative Study by Continuous Unitary Transformations},
  author = {S. Dusuel and Goetz S. Uhrig},
  journal= {arXiv preprint arXiv:cond-mat/0405166},
  year   = {2009}
}

Comments

12 pages, 6 figures, 3 tables