A generalized FQHE trial wave function on spherical geometry

Sergio De Filippo, Carmine Lubritto

Shashikant Mulay, John J. Quinn, Mark Shattuck

Marcus Kasner, W. Apel

The various proposals for FQHE quasi-electron trial wave functions are reconsidered. In a short-range model for the electronic interaction, the energy expectation values of four different trial wave functions are calculated at filling factor $\frac{1}{3}$ for up to ten electrons in the disk geometry. Jain's trial wave function displays the lowest energy expectation value.

Marcus Kasner, W. Apel

In this letter, we propose a new quasi-electron trial wave function for N interacting electrons in two dimensions moving in a strong magnetic field in a disk geometry. Requiring that the trial wave function exhibits the correct filling factor of a quasi-electron wave function, we obtain N + 1 angular-momentum eigenfunctions. The expectation values of the energy are calculated and compared with the data of an exact numerical diagonalization.

Yu. A. Aminov