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One-dimensional oscillator in a box

Paolo Amore1 and Francisco M Fernández2,3

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We discuss a quantum-mechanical model of two particles that interact by means of a harmonic potential and are confined to a one-dimensional box with impenetrable walls. We apply perturbation theory to the cases of different and equal masses and analyse the symmetry of the states in the latter case. We compare the approximate perturbation results with accurate numerical ones.


PACS

01.50.-i Educational aids

02.10.Ud Linear algebra

03.65.Ge Solutions of wave equations: bound states

03.65.Fd Algebraic methods

Subjects

Mathematical physics

Education and communication

Quantum information and quantum mechanics

Dates

Issue 1 (January 2010)

Received 10 July 2009

Published 4 November 2009



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