Collective Modes of Anyons Localized in 2D Anisotropic Harmonic Potential
Keywords:
2D, AnisotropicAbstract
The goal of our research is to investigate the collective modes of the anyons localized in 2D parabolic well and get the right exact expression for their collective mode frequencies. A study of the collective motion of atomic gases, localized in the harmonic trap, belongs to class of actual and interesting problems of physics of ultra-cold atomic and molecular systems. A topology of systems allows to exist the particles, whoes statistics may be orbitrary between bosons and fermions, therefore they call anyons. And these anyons are described with parameter and may be determined in the interval between ones for bosons and fermions. The one of intriguing problem of ultra-cold atomic gases is a study of the role of the anyon statistics to the system centre mass mode frequencies.
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