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Phys. Rev. A 37, 4026–4029 (1988)

Charged particle in the presence of a variable magnetic field

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M. Sebawe Abdalla
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Received 30 November 1987; published in the issue dated May 1988

A solution in closed analytic form is obtained for the motion of a charged harmonic oscillator in a variable magnetic field. The time-dependent Schrödinger wave equation is solved in both Cartesian and polar coordinates. The canonical density matrix is calculated via the quasicoherent states.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.37.4026
DOI:
10.1103/PhysRevA.37.4026
PACS:
03.65.Ge