Wave Function of a Particle in an External Field

Luca Salasnich

V. I. Inozemtsev, Наталья Германовна Иноземцева, Б. И. Садовников

It is shown that hyperbolic systems of Sutherland spin 1/2 particles in an external field with the Morse potential characterized by parameter τ 2 have a discrete part of their spectrum in the case of a particular constraint on the τ, parameter of two-particle interaction λ, and the number of particles. The ground state is described by a Jastrow wave function. The results known for systems with an interaction inversely proportional to the squared distance between particles are reproduced in the limit τ → ∞.

F. J. Bloore, S. J. Swarbrick

Pei-Song He, Yaohui Zhu

Abstract We have calculated the effect of a magnetic field on the evolution of angular momentum eigenfunctions of a charged particle. An additional harmonic potential is supplemented to trap the wave packet. We find the probability density of the wave function is oscillating in the radial direction with a time period determined by the strength of the effective harmonic potential. When the magnetic field is along the z direction, if the initial wave function is an eigenfunction of L ˆ z , the probability density of the particle remains axis-symmetric. While for the case of an eigenfunction of L ˆ x , it is anisotropic in the x−y plane and rotates with a time period inverse proportional to the strength of the external magnetic field. We also extend the results in a phenomenological way to the case with an external magnetic field that varies harmonically in time.

V.V. Komarov, Anna M. Popova, Vladimir Leonidovich Shablov

Arvind Narayan Vaidya, Marcelo Hott

The Green function for a spin-1/2 charged particle in the presence of an external plane wave electromagnetic field is calculated by algebraic techniques in terms of the free-particle Green function.