A particle of mass m is in a bound state with energy E and wave function...
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A particle of mass m is in a bound state with energy E and wave function (x), in the potential { x < 0 0<x<L W x > L where W> 0. You want to find bound state energies in the range 0 <E<W. V(x) = = 0 a) Make a rough sketch of V(x). What is o(0)? With this condition, and E > 0, solve the Schrodinger equation in the region 0< x < L. b) Solve the Schrodinger equation in the range x > L. Remember that E < W for a bound state. c) Write down the continuity conditions for the wavefunction at x = L. d) Using these continuity conditions, find the transcendental equation which determines the bound state energies E. e) At what values of L is the binding energy W - E zero? A particle of mass m is in a bound state with energy E and wave function (x), in the potential { x < 0 0<x<L W x > L where W> 0. You want to find bound state energies in the range 0 <E<W. V(x) = = 0 a) Make a rough sketch of V(x). What is o(0)? With this condition, and E > 0, solve the Schrodinger equation in the region 0< x < L. b) Solve the Schrodinger equation in the range x > L. Remember that E < W for a bound state. c) Write down the continuity conditions for the wavefunction at x = L. d) Using these continuity conditions, find the transcendental equation which determines the bound state energies E. e) At what values of L is the binding energy W - E zero?
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a Sketch and Boundary Condition The potential Vx is a step function infinite for x 0 and zero for 0 ... View the full answer
Related Book For
Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
Posted Date:
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