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, 10 x 10 matrices give better results than obtained by diagonalizing 1000 x 1000 matrices.
authors.affiliation: Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada.
authors.forename: S Y
authors.initials: SY
authors.lastname: Ho
authors.forename: G
authors.initials: G
authors.lastname: Rosensteel
authors.forename: D J
authors.initials: DJ
authors.lastname: Rowe