Consider an atomic nucleus to be equivalent to a onedimensional infinite potential well with L = 1.4 * 10-14 m, a typical nuclear diameter.What would be the ground-state energy of an electron if it were trapped in such a potential well? (Note: Nuclei do not contain electrons.)

Consider an atomic nucleus to be equivalent to a onedimensional infinite potential well with L = 1.4 * 10-14 m, a typical nuclear diameter.What would be the ground-state energy of an electron if it were trapped in such a potential well? (Note: Nuclei do not contain electrons.)

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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Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to represent a quantum state. The wave function completely describes the quantum system. This equation can be used to study the particles like electrons, protons and, neutrons. It is also used to study the structure of hydrogen atoms and harmonic oscillators.

Question

Consider an atomic nucleus to be equivalent to a onedimensional
infinite potential well with L = 1.4 * 10-14 m, a
typical nuclear diameter.What would be the ground-state energy
of an electron if it were trapped in such a potential well? (Note:
Nuclei do not contain electrons.)

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