5. A particle is confined to a 1D infinite square well potential between x = 0 and x = L.(a) Sketch the |Þ(x)|² as a function of x for the ground state.(b) Sketch the |Þ(x)|² as a function of x for the third excited state.(c) What is the probability of finding the particle between r = L/3 and x = L?(d) What is the probability of finding the particle at r > L?

5. A particle is confined to a 1D infinite square well potential between x = 0 and x= L. (a) Sketch the |Þ(x)|² as a function of r for the ground state. (b) Sketch the |p(x)|² as a function of x for the third excited state. (c) What is the probability of finding the particle between x = L/3 and x = L? (d) What is the probability of finding the particle at x > L?

5. A particle is confined to a 1D infinite square well potential between x = 0 and x= L. (a) Sketch the |Þ(x)|² as a function of r for the ground state. (b) Sketch the |p(x)|² as a function of x for the third excited state. (c) What is the probability of finding the particle between x = L/3 and x = L? (d) What is the probability of finding the particle at x > L?

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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Question

5. A particle is confined to a 1D infinite square well potential between x = 0 and x = L.
(a) Sketch the |Þ(x)|² as a function of x for the ground state.
(b) Sketch the |Þ(x)|² as a function of x for the third excited state.
(c) What is the probability of finding the particle between r = L/3 and x = L?
(d) What is the probability of finding the particle at r > L?

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