arXiv subjects

Choon-Lin Ho

Publications and source records attributed to Choon-Lin Ho.

58 records · Page 4Linked to original sources

arXiv1996

w_{\infty} and sl_q(2) Algebras in the Landau Problem and Chern-Simons Theory on a Torus

We discuss $w_\infty$ and $sl_q(2)$ symmetries in Chern-Simons theory and Landau problem on a torus. It is shown that when the coefficient of the Chern-Simons term, or when the total flux passing through the torus is a rational number, there exist in general two $w_\infty$ and two $sl_q(2)$ algebras, instead of one set each discussed in the literature. The general wavefunctions for the Landau problem with rational total flux is also presented.

hep-th↗

arXiv1996

Two-dimensional electron gas in uniform magnetic and electric fields

The thermodynamic potential of an ideal nonrelativistic gas of two-dimensional electrons in crossed uniform magnetic and electric fields is constructed. For low temperatures and very weak electric fields, it is shown that the Hall conductance is always quantized at integral multiples of $e^2/h$ over a large range of strong magnetic fields. This could be viewed as a quantum statistical explanation of the integral quantum Hall effect. Magnetic properties of the system at high temperatures are briefly discussed.

cond-mat↗

arXiv1992

Anyons on a Torus

We prove the equivalence between anyon quantum mechanics on a torus and Chern-Simons gauge theory. It is also shown that the Hamiltonian and total momenta commute among themselves only in the physical Hilbert space.

hep-th↗

arXiv1992

Operator Algebra in Chern-Simons Theory on a Torus

We consider Chern-Simons gauge theory on a torus with both nonrelativistic and relativistic matter. It is shown that the Hamiltonian and two total momenta commute among themselves only in the physical Hilbert space. We also discuss relations among degenerate physical states, degenerate vacua, and the existence of multicomponent Schrodinger wavefunctions.

hep-th↗