Calculate the 2nd order energy shift to the ground state energy of the one-dimensional harmonic oscillator, whena perturbation of the formH₁= Є· (²)is added to the original Hamiltonian Ho = p²/2m+ ½ mw²x². Take a ⇒ (ħ/mw) ¹/2, the characteristic length scaleof the oscillator. The second order correction to level n is given byE(2)=Σm#n||| H₁|v0| |2mE(0) - EO)

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Answered: Calculate the 2nd order energy shift to…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.36P

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