in its lowest possible energy state. ) What is the energy of this state? >) The separation between the walls is slowly (a.k.a. 'adiabatically') increased to 2L. That the process o owly means that the electron slowly adapts to continue to occupy the ground state of this new well of width What is the change in energy that the electron experiences? ) With the walls again at a distance of L, imagine now that the separation is abruptly increased from L to his means that, at the moment when the change is made, the wavefunction is unchanged for a < L and zero ( rx> L. Write a (normalized) expression for 1 (r) at this very moment, and draw it for the inte € [0, 2L]. What is the expectation value of the energy for this ₁(x)? I'm calling it ₁(x) not (a
in its lowest possible energy state. ) What is the energy of this state? >) The separation between the walls is slowly (a.k.a. 'adiabatically') increased to 2L. That the process o owly means that the electron slowly adapts to continue to occupy the ground state of this new well of width What is the change in energy that the electron experiences? ) With the walls again at a distance of L, imagine now that the separation is abruptly increased from L to his means that, at the moment when the change is made, the wavefunction is unchanged for a < L and zero ( rx> L. Write a (normalized) expression for 1 (r) at this very moment, and draw it for the inte € [0, 2L]. What is the expectation value of the energy for this ₁(x)? I'm calling it ₁(x) not (a
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter22: Entropy And The Second Law Of Thermodynamics
Section: Chapter Questions
Problem 43PQ
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The particle in a box model (also known as the infinite potential well or the infinite square well) in quantum mechanics depicts a particle free to travel in a small space surrounded by impenetrable barriers.
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