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Consider a particle moving in a 3D central potentialV(r) = Br², where 3 > 0 is some constant. Solve the time independent Schrödinger equation to find the energy levels. (a) What is the ground state energy of the particle? (b) What is the ground state wave function (x,y, z) of the particle? (c) What is the degeneracy of the nth energy level? (The convention here is that n = 0 corresponds to the ground state.)

Consider a particle moving in a 3D central potentialV(r) = Br², where 3 > 0 is some constant. Solve the time independent Schrödinger equation to find the energy levels. (a) What is the ground state energy of the particle? (b) What is the ground state wave function (x,y, z) of the particle? (c) What is the degeneracy of the nth energy level? (The convention here is that n = 0 corresponds to the ground state.)

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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Consider a particle moving in a 3D central potential V(r) = Br2, where B > 0 is some constant. Solve the time independent Schrödinger equation to find the energy levels. (a) What is the ground state energy of the particle? (b) What is the ground state wave function (x, y, z) of the particle? (c) What is the degeneracy of the nth energy level? (The convention here is that n = 0 corresponds to the ground state.)
Transcribed Image Text:Consider a particle moving in a 3D central potential V(r) = Br2, where B > 0 is some constant. Solve the time independent Schrödinger equation to find the energy levels. (a) What is the ground state energy of the particle? (b) What is the ground state wave function (x, y, z) of the particle? (c) What is the degeneracy of the nth energy level? (The convention here is that n = 0 corresponds to the ground state.)
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