An equations-of-motion approach to quantum mechanics: application to a model phase transition
arXiv:nucl-th/0611014 · doi:10.1103/PhysRevLett.98.080401
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.
4 pages, 1 figure