If you double the width of a one-dimensional infinite potential well, (a) is the energy of the ground state of the trapped electron multiplied by 4, 2, , , or some other number? (b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter6: Quantum Mechanics In One Dimension
Section6.5: The Finite Square Well (optional)
Problem 4E
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If you double the width of a one-dimensional infinite potential
well, (a) is the energy of the ground state of the trapped electron
multiplied by 4, 2, , , or some other number? (b) Are the energies
of the higher energy states multiplied by this factor or by some
other factor, depending on their quantum number?

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