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

Shen Yong Ho | Zendy; G. Rosensteel | Zendy; D.J. Rowe | Zendy

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

Author(s) -

Shen Yong Ho,

G. Rosensteel,

D.J. Rowe

Publication year - 2007

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.98.080401

Subject(s) - quartic function , physics , equations of motion , motion (physics) , quantum phase transition , quantum mechanics , quantum , phase transition , algebraic number , matrix (chemical analysis) , spectral line , algebraic equation , harmonic oscillator , stochastic matrix , classical mechanics , mathematical analysis , materials science , mathematics , statistics , nonlinear system , markov chain , pure mathematics , composite material

We present a generalized equations-of-motion method that efficientlycalculates energy spectra and matrix elements for algebraic models. The methodis applied to a 5-dimensional quartic oscillator that exhibits a quantum phasetransition between vibrational and rotational phases. For certain parameters,10 by 10 matrices give better results than obtained by diagonalising 1000 by1000 matrices.Comment: 4 pages, 1 figur

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