Phys. Rev. Lett. 98, 080401 (2007) [4 pages]Equations-of-Motion Approach to Quantum Mechanics: Application to a Model Phase TransitionReceived 7 November 2006; published 20 February 2007 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.080401
DOI:
10.1103/PhysRevLett.98.080401
PACS:
03.65.Fd, 21.60.Fw, 31.15.Pf
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