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

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, 10x10 matrices give better results than obtained by diagonalizing 1000x1000 matrices.

Authors:
;  [1];  [2]
  1. Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7 (Canada)
  2. Department of Physics, Tulane University, New Orleans, Louisiana 70118 (United States)
Publication Date:
OSTI Identifier:
20957666
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevLett.98.080401; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ENERGY SPECTRA; EQUATIONS OF MOTION; MATHEMATICAL MODELS; MATRICES; MATRIX ELEMENTS; OSCILLATORS; PHASE TRANSFORMATIONS; QUANTUM MECHANICS

Citation Formats

Ho, S. Y., Rowe, D. J., and Rosensteel, G.. Equations-of-Motion Approach to Quantum Mechanics: Application to a Model Phase Transition. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.080401.
Ho, S. Y., Rowe, D. J., & Rosensteel, G.. Equations-of-Motion Approach to Quantum Mechanics: Application to a Model Phase Transition. United States. doi:10.1103/PHYSREVLETT.98.080401.
Ho, S. Y., Rowe, D. J., and Rosensteel, G.. Fri . "Equations-of-Motion Approach to Quantum Mechanics: Application to a Model Phase Transition". United States. doi:10.1103/PHYSREVLETT.98.080401.
@article{osti_20957666,
title = {Equations-of-Motion Approach to Quantum Mechanics: Application to a Model Phase Transition},
author = {Ho, S. Y. and Rowe, D. J. and Rosensteel, G.},
abstractNote = {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, 10x10 matrices give better results than obtained by diagonalizing 1000x1000 matrices.},
doi = {10.1103/PHYSREVLETT.98.080401},
journal = {Physical Review Letters},
number = 8,
volume = 98,
place = {United States},
year = {Fri Feb 23 00:00:00 EST 2007},
month = {Fri Feb 23 00:00:00 EST 2007}
}