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Phys. Rev. A 65, 034707 (2002) [4 pages]

Duality and quasiparticles in the Calogero-Sutherland model: Some exact results

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Ivan Andrić* and Larisa Jonke
Theoretical Physics Division, Rudjer Bošković Institute, P.O. Box 180, HR-10002 Zagreb, Croatia

Received 5 October 2000; published 26 February 2002

A quantum-mechanical many-body system with a potential proportional to the pairwise inverse-square distance possesses a strong-weak coupling duality. Using this duality we construct a parent Hamiltonian describing the system of particles and quasiparticles. The construction of the Hamiltonian and the solutions found are of a hierarchical nature.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.034707
DOI:
10.1103/PhysRevA.65.034707
PACS:
03.65.Nk, 05.30.Pr, 05.45.Yv

*Email address: andric@thphys.irb.hr

Email address: larisa@thphys.irb.hr