English

An equations-of-motion approach to quantum mechanics: application to a model phase transition

Nuclear Theory 2008-11-26 v1

Abstract

We present a generalized equations-of-motion method that efficiently calculates energy spectra and matrix elements for algebraic models. The method is applied to a 5-dimensional quartic oscillator that exhibits a quantum phase transition between vibrational and rotational phases. For certain parameters, 10 by 10 matrices give better results than obtained by diagonalising 1000 by 1000 matrices.

Keywords

Cite

@article{arxiv.nucl-th/0611014,
  title  = {An equations-of-motion approach to quantum mechanics: application to a model phase transition},
  author = {S. Y. Ho and G. Rosensteel and D. J. Rowe},
  journal= {arXiv preprint arXiv:nucl-th/0611014},
  year   = {2008}
}

Comments

4 pages, 1 figure