7. Consider the eigenfunction below: Wave Function

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 10.41E: Verify that the following wavefunctions are indeed eigenfunctions of the Schrdinger equation, and...
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Chemistry.

7. Consider the eigenfunction below:
This is the eigenfunction of the Time-Independent Schrödinger Equation
for a certain potential V(x).
Using reasoning deriving from the graphical interpretation of the
term from the TISE:
1. Draw a rough sketch of the potential V(x) and your arbitrary choice
of the total energy E, such that the above eigenfunction is a solution
(Show this on the scratch paper that you will turn in).
2. Explain your rough sketch of the potential V(x), and how it
corresponds with the above eigenfunction.
3. What non-classical effect is happening here
Transcribed Image Text:7. Consider the eigenfunction below: This is the eigenfunction of the Time-Independent Schrödinger Equation for a certain potential V(x). Using reasoning deriving from the graphical interpretation of the term from the TISE: 1. Draw a rough sketch of the potential V(x) and your arbitrary choice of the total energy E, such that the above eigenfunction is a solution (Show this on the scratch paper that you will turn in). 2. Explain your rough sketch of the potential V(x), and how it corresponds with the above eigenfunction. 3. What non-classical effect is happening here
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