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3. A ID quantum well is described by the following position dependent potential energy for a moving particle of mass m: x<0, V = {-V, 0 L, where V, is a positive constant and L is the width of the quantum well. The total energy E of the particle is between -V, and 0 (i.e., -V, < E < 0 so bound states only!). Find the wavefunctions in each region. Apply as many boundary conditions as possible to these wavefunctions. Normalization of the wavefunctions is not required.

3. A ID quantum well is described by the following position dependent potential energy for a moving particle of mass m: x<0, V = {-V, 0 L, where V, is a positive constant and L is the width of the quantum well. The total energy E of the particle is between -V, and 0 (i.e., -V, < E < 0 so bound states only!). Find the wavefunctions in each region. Apply as many boundary conditions as possible to these wavefunctions. Normalization of the wavefunctions is not required.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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3. A ID quantum well is described by the following position dependent potential energy for a moving particle of mass m: x < 0, V = {-V, 0<x<L, (2) x >L, where V, is a positive constant and L is the width of the quantum well. The total energy E of the particle is between -V, and 0 (i.e., -V, < E < 0 so bound states only!). Find the wavefunctions in each region. Apply as many boundary conditions as possible to these wavefunctions. Normalization of the wavefunctions is not required.
Transcribed Image Text:3. A ID quantum well is described by the following position dependent potential energy for a moving particle of mass m: x < 0, V = {-V, 0<x<L, (2) x >L, where V, is a positive constant and L is the width of the quantum well. The total energy E of the particle is between -V, and 0 (i.e., -V, < E < 0 so bound states only!). Find the wavefunctions in each region. Apply as many boundary conditions as possible to these wavefunctions. Normalization of the wavefunctions is not required.
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