dorsal/arxiv
View SchemaAn equations-of-motion approach to quantum mechanics: application to a model phase transition
| Authors | S. Y. Ho, G. Rosensteel, D. J. Rowe |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0611014 |
| URL | https://arxiv.org/abs/nucl-th/0611014 |
| DOI | 10.1103/PhysRevLett.98.080401 |
| Journal | Phys.Rev.Lett.98:080401,2007 |
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.
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"abstract": "We present a generalized equations-of-motion method that efficiently\ncalculates energy spectra and matrix elements for algebraic models. The method\nis applied to a 5-dimensional quartic oscillator that exhibits a quantum phase\ntransition between vibrational and rotational phases. For certain parameters,\n10 by 10 matrices give better results than obtained by diagonalising 1000 by\n1000 matrices.",
"arxiv_id": "nucl-th/0611014",
"authors": [
"S. Y. Ho",
"G. Rosensteel",
"D. J. Rowe"
],
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"doi": "10.1103/PhysRevLett.98.080401",
"journal_ref": "Phys.Rev.Lett.98:080401,2007",
"title": "An equations-of-motion approach to quantum mechanics: application to a model phase transition",
"url": "https://arxiv.org/abs/nucl-th/0611014"
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