Equations-of-Motion Approach to Quantum Mechanics: Application to a Model Phase Transition

S. Y. Ho, G. Rosensteel, and D. J. Rowe
Phys. Rev. Lett. 98, 080401 – Published 20 February 2007

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 five-dimensional quartic oscillator that exhibits a quantum phase transition between vibrational and rotational phases. For certain parameters, 10×10 matrices give better results than obtained by diagonalizing 1000×1000 matrices.

  • Figure
  • Received 7 November 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.080401

©2007 American Physical Society

Authors & Affiliations

S. Y. Ho1, G. Rosensteel2, and D. J. Rowe1

  • 1Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada
  • 2Department of Physics, Tulane University, New Orleans, Louisiana 70118, USA

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Issue

Vol. 98, Iss. 8 — 23 February 2007

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