Coulomb-diamagnetic problem in two dimensions

Chhajlany, S. C. ; Mal'nev, V. N. ; Kumar, N. (1989) Coulomb-diamagnetic problem in two dimensions Physical Review A, 39 (10). pp. 5082-5084. ISSN 1050-2947

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Official URL: http://pra.aps.org/abstract/PRA/v39/i10/p5082_1

Related URL: http://dx.doi.org/10.1103/PhysRevA.39.5082

Abstract

Based on a conjecture for the four-step recursion relation occurring in the series solution of the Coulomb-diamagnetic problem in two space dimensions, the energy eigenvalue spectrum that reproduces the known limits in full is obtained exactly. The resulting nonperturbative spectrum is a deceptively simple combination of the purely Landau and Coulombic spectra but gives the quasi-Landau levels with (3/2)ħωc spacing near the ionization threshold. The conjecture is made plausible in terms of an adiabatic continuation of solutions in the parameter ratio ħωc/scrR.

Item Type:Article
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ID Code:18377
Deposited On:17 Nov 2010 09:21
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