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.)

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

Chapter8: Quantum Mechanics In Three Dimensions

Section: Chapter Questions

Problem 3P

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