Answered: For a particle in a box of length L and…

For a particle in a box of length L and in the state with n = 5, at what positions is the probability density a maximum? At what positions is it a minimum?

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 10.26E: For a particle in a state having the wavefunction =2asinxa in the range x=0toa, what is the...

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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.

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For a particle in a box of length L and in the state with n = 5, at what positions is the
probability density a maximum?
At what positions is it a minimum?

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Step 2: (a) Determine OF probablity density relation with box length.

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Step 3: (a) Determine position of maximum probablity density.

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Step 4: (b) Determine position of minimum probability density.

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