Many anyon wavefunctions in a constant magnetic field

✍ Scribed by K.H Cho; Chaiho Rim

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 949 KB
• Volume: 213
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(92)90048-q

✦ Synopsis

We obtain exact energy eigenstates algebraically for N-anyon system in a constant external magnetic field (and with harmonic interaction). For a fractional statistical parameter a, there exist two classes of states which are obtained by applying regular operations on two different bottom states. It is demonstrated that the operators for excited states are given in terms of one-step energy excitation operators only and their multiplicity table is established.