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  • 1
    Electronic Resource
    Electronic Resource
    Crystallinity in two dimensions: A note on a paper of C. Radin (1983)
    Springer
    Journal of statistical physics 33 (1983), S. 523-526 
    Details
    ISSN: 1572-9613
    Keywords: Crystal ; ground state ; soft disks ; symmetry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01018831
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    New Exact Ground States for One-Dimensional Quantum Many-Body Systems (2000)
    Springer
    Journal of statistical physics 100 (2000), S. 779-790 
    Details
    ISSN: 1572-9613
    Keywords: ground state ; wave functions of product type ; Calogero–Sutherland systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018683727464
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