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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 +

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 +
Transcribed Image Text: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 +
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