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Digitale Medien

Crystallinity in two dimensions: A note on a paper of C. Radin (1983)

Wagner, Heinz-Jürgen

Springer

Journal of statistical physics 33 (1983), S. 523-526

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ISSN: 1572-9613

Schlagwort(e): Crystal ; ground state ; soft disks ; symmetry

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract To demonstrate the crystallinity of the soft disk ground state, a modified treatment of this model is given, as Radin's proof of a crucial lemma can be shown to be incorrect.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01018831

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New Exact Ground States for One-Dimensional Quantum Many-Body Systems (2000)

Koprucki, Thomas ; Wagner, Heinz-Jürgen

Springer

Journal of statistical physics 100 (2000), S. 779-790

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ISSN: 1572-9613

Schlagwort(e): ground state ; wave functions of product type ; Calogero–Sutherland systems

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract We consider one-dimensional quantum many-body systems with pair interactions in external fields and (re)investigate the conditions under which exact ground-state wave functions of product type can be found. Contrary to a claim in the literature that an exhaustive list of such systems is already known, we show that this list can still be enlarged considerably. In particular, we are able to calculate exact ground-state wave functions for a class of quantum many-body systems with Ax −2+Bx 2 interaction potentials and external potentials given by sixth-order polynomials.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1018683727464

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