The total energy of a particle-spring system in which the particle moves with simple harmonic motion along the хахis is E = + 2 m 2 where p, is the momentum of the quantum particle and k is the spring constant. (a) Using the uncertainty principle, show that this expression can also be written as + 8p? (b) Show that the minimum energy of the harmonic oscil- lator is k E = K+ U=A min m 4 +
The total energy of a particle-spring system in which the particle moves with simple harmonic motion along the хахis is E = + 2 m 2 where p, is the momentum of the quantum particle and k is the spring constant. (a) Using the uncertainty principle, show that this expression can also be written as + 8p? (b) Show that the minimum energy of the harmonic oscil- lator is k E = K+ U=A min m 4 +
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter40: Quantum Mechanics
Section: Chapter Questions
Problem 27P
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