We solve the problem of anyons with spin- in an external field and obtain one of exact wavefunctions for its ground state, which is highly degenerated. Using Laughlin's plasma analogy, we find that there exists the algebraic off-diagonal long-range order for the ground state wavefunction in a certain external magnetic field.

Communications in Theoretical PhysicsJan 1, 19920 citations

Energy spectrum of anyons in a magnetic field

Fabrizio Illuminati

For the many-anyon system in an external magnetic field, we derive the energy spectrum as an exact solution of the quantum eigenvalue problem with particular topological constraints. Our results agree with the numerical spectra recently obtained for the three- and the four-anyon systems.

arXiv:hep-th/9207099Physical Review AApr 1, 19933 citations

Science in China Series A Mathematics

Wave equation for anyons and its exact solutions in external fields

Jing-fa Lu, Sergey Il'ich Kruglov, Xue-qing Zhao

Published Oct 1, 1997• 0 citations

Publisher

DOI: 10.1007/bf03182370

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