Answered: Are the following eigenfunctions of the…

Are the following eigenfunctions of the operator d/dx? a) cos ax b) ax c) elax (i is the imaginary number defined as i²= -1) d) e-ax²

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 10.40E

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Concept explainers

Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

Question

Are the following eigenfunctions of the operator d/dx?
a) cos ax
b) ax
c) elax (i is the imaginary number defined as ²= -1)
d) e-ax²

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