The physical interpretation of the wavefunction and the fact that it is a solution of the Schroedinger equation, which is a 2nd order differential equation, causes many restrictions on an acceptable wave function solution: (i) it must be single-valued; (ii) it must be continuous; (iii) its slope must be continuous; and (iv) it must be normalizable or normalized. Sketch the following functions and check whether they can be wave functions. Explain your answers. (Hint, it might be useful to plot the functions).
The physical interpretation of the wavefunction and the fact that it is a solution of the Schroedinger equation, which is a 2nd order differential equation, causes many restrictions on an acceptable wave function solution: (i) it must be single-valued; (ii) it must be continuous; (iii) its slope must be continuous; and (iv) it must be normalizable or normalized. Sketch the following functions and check whether they can be wave functions. Explain your answers. (Hint, it might be useful to plot the functions).
Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter10: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 10.28E: A particle on a ring has a wavefunction =eim, where =0to2 and m is a constant. a Normalize the...
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The physical interpretation of the wavefunction and the fact that it is a solution of the Schroedinger equation, which is a 2nd order differential equation, causes many restrictions on an acceptable wave function solution: (i) it must be single-valued; (ii) it must be continuous; (iii) its slope must be continuous; and (iv) it must be normalizable or normalized. Sketch the following functions and check whether they can be wave functions. Explain your answers. (Hint, it might be useful to plot the functions).
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