Variational wave functions of a vortex in cyclotron motion
Abstract
In two dimensions the microscopic theory, which provides a basis for the naive analogy between a quantized vortex in a superfluid and an electron in an uniform magnetic field, is presented. A one-to-one correspondence between the rotational states of a vortex in a cylinder and the cyclotron states of an electron in the central gauge is found. Like the Landau levels of an electron, the energy levels of a vortex are highly degenerate. However, the gap between two adjacent energy levels does not only depend on the quantized circulation, but also increases with the energy, and scales with the size of the vortex.
Cite
@article{arxiv.cond-mat/0005481,
title = {Variational wave functions of a vortex in cyclotron motion},
author = {Jian-Ming Tang},
journal= {arXiv preprint arXiv:cond-mat/0005481},
year = {2007}
}
Comments
LaTeX, 4 pages, 2 EPS figures, To appear in ``Series on Advances in Quantum Many-Body Theory'' ed. by R.F. Bishop, C.E. Campbell, J.W. Clark and S. Fantoni (World Scientific, 2000)