4. Normalize the following wavefunctions (a) (x)=sin(); for a particle in a 1D box of length L. (b) (r) = xe-z/ (c) (z) = (-²²)+(z) 5. In a region of space, a particle with mass m and with zero energy has a time- independent wave-function (x) = Ae-2/2, where A and L are constants. Use your knowledge of the Schrödinger equation to determine the potential energy V(x) of the particle. Plot the potential function? What is the minimum potential energy for the particle, if it is an electron and L = 1 fm? Is this potential repulsive or attractive? 6. Plot qualitative wavefunctions for the scenarios shown below. V=8 Z T E √20 Vo J. E VaVo Veo V=D 1 v(x)
4. Normalize the following wavefunctions (a) (x)=sin(); for a particle in a 1D box of length L. (b) (r) = xe-z/ (c) (z) = (-²²)+(z) 5. In a region of space, a particle with mass m and with zero energy has a time- independent wave-function (x) = Ae-2/2, where A and L are constants. Use your knowledge of the Schrödinger equation to determine the potential energy V(x) of the particle. Plot the potential function? What is the minimum potential energy for the particle, if it is an electron and L = 1 fm? Is this potential repulsive or attractive? 6. Plot qualitative wavefunctions for the scenarios shown below. V=8 Z T E √20 Vo J. E VaVo Veo V=D 1 v(x)
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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Transcribed Image Text:4. Normalize the following wavefunctions
(a) (x)=sin(); for a particle in a 1D box of length L.
(b) (r) = xe-z/
(c) (z) = (-²²)+(z)
5. In a region of space, a particle with mass m and with zero energy has a time-
independent wave-function (x) = Ae-2/2, where A and L are constants. Use
your knowledge of the Schrödinger equation to determine the potential energy V(x)
of the particle. Plot the potential function? What is the minimum potential energy
for the particle, if it is an electron and L = 1 fm? Is this potential repulsive or
attractive?
6. Plot qualitative wavefunctions for the scenarios shown below.
V=8
Z
T
E
√20
Vo
J.
E
VaVo Veo
V=D
1
v(x)
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