Harmonic oscillator interacting with conical singularities

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, , Citation Cláudio Furtado and Fernando Moraes 2000 J. Phys. A: Math. Gen. 33 5513 DOI 10.1088/0305-4470/33/31/306

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1 Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970 João Pessoa, PB, Brazil

2 Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, PE, Brazil

Dates

  1. Received 4 April 2000

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0305-4470/33/31/5513

Abstract

We study the quantum dynamics of a particle interacting harmonically with conical singularities that physically correspond to either a cosmic string, a global monopole, a magnetic flux string or a screw dislocation, by solving the corresponding Schrödinger equations. Exact expressions for the energy eigenfunctions and eigenvalues are found.

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