Planar Three-Body Problem with Calogero Interactions and a Magnetic Field |
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| Authors: | A González L Quiroga BA Rodriguez |
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| Institution: | (1) Instituto de Cibernética, Matemática y Fisica, Calle E 309, Vedado, Habana 4, Cuba, CU;(2) Departamento de Fisica, Universidad Nacional de Colombia, Sede Medellin, AA 3840, Medellin, Colombia, CO;(3) Departmento de Fisica, Universidad de los Andes, AA 4976, Bogotá, Columbia, CO |
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| Abstract: | Energy levels of three particles moving in two dimensions in the presence of an external magnetic field are computed by means
of the 1/N-expansion, where N is roughly the angular momentum. The interparticle interaction is taken as the Calogero potential, r
2/6 +β
2/r
2. The harmonicoscillator (β→ 0) and Wigner (β→∞) limits are reproduced exactly. Level ordering as a function of β and the magnetic field is studied. The results are in excellent qualitative agreement with numerical calculations for three
electrons in a parabolic GaAs quantum dot.
Received July 24, 1995; revised November 20, 1995; accepted for publication February 6, 1996 |
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