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

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

2006-11-07

arxiv.org/abs/nucl-th/0611014v1

Phys.Rev.Lett.98:080401,2007

Physics

Nuclear Physics

Nuclear Theory

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.98.080401

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.

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