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)
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter28: Quantum Physics
Section: Chapter Questions
Problem 25P
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