A particle of spin 1/2 and mass m moves subject to the Hamiltonian: P² 1 1 1 P² = +/-mw²X² + +=mw²y² + + 1/mw²z². 2" 2m '2' P² 2m 2 2m Ho A disturbance given by W = Xo R₁ where o contains the Pauli matrices. Calculate the change in energy from the ground state to first order in the perturbation (don't forget the degeneracy introduced by the spin).

Principles of Instrumental Analysis
7th Edition
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Chapter18: Raman Spectroscopy
Section: Chapter Questions
Problem 18.5QAP
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P2
A particle of spin 1/2 and mass m moves subject to the Hamiltonian:
P² 1
1
1
P²
= +/-mw²X² + +=mw²y² + + 1/mw²z².
2"
2m '2'
P²
2m 2
2m
Ho
A disturbance given by
W = Xo R₁
where o contains the Pauli matrices. Calculate the change in energy from the
ground state to first order in the perturbation (don't forget the degeneracy
introduced by the spin).
Transcribed Image Text:A particle of spin 1/2 and mass m moves subject to the Hamiltonian: P² 1 1 1 P² = +/-mw²X² + +=mw²y² + + 1/mw²z². 2" 2m '2' P² 2m 2 2m Ho A disturbance given by W = Xo R₁ where o contains the Pauli matrices. Calculate the change in energy from the ground state to first order in the perturbation (don't forget the degeneracy introduced by the spin).
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