3. Consider an isotropic harmonic oscillator in two dimensions. The Hamiltonian is given by: 門+,1。 (a) What are the energies of the three lowest-lying states? Is there any degeneracy? (b) Apply a perturbation V - ómuXY, where 6 is a dimensionless real mumber much smaller than unity. Find the zeroth-order energy eigenket and the corresponding energy to first order (that is, the unperturbed energy obtained in the previous part plus the first-order energy shift) for each of the three lowest-lying states. (c) Solve the Ho + V problem exactly. Compare with the perturbation results obtained in the second part.

3. Consider an isotropic harmonic oscillator in two dimensions. The Hamiltonian is given by: 門+,1。 (a) What are the energies of the three lowest-lying states? Is there any degeneracy? (b) Apply a perturbation V - ómuXY, where 6 is a dimensionless real mumber much smaller than unity. Find the zeroth-order energy eigenket and the corresponding energy to first order (that is, the unperturbed energy obtained in the previous part plus the first-order energy shift) for each of the three lowest-lying states. (c) Solve the Ho + V problem exactly. Compare with the perturbation results obtained in the second part.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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