Consider the moving delta-function well: where v is the (constant) velocity of the well. (a) Show that

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Consider the moving delta-function well:

where v is the (constant) velocity of the well.

(a) Show that the time-dependent Schrödinger equation admits the exact solution.

where E = -mα2/2ћ is the bound-state energy of the stationary delta function.
(b) Find the expectation value of the Hamiltonian in this state, and comment on the result.

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Introduction To Quantum Mechanics

ISBN: 9781107189638

3rd Edition

Authors: David J. Griffiths, Darrell F. Schroeter

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