Q2) One dimensional harmonic oscillator with the Hamiltonian p2 1 Ho : + 2m mw?x² is perturbed by A H, = 1 x4 a) Calculate the first order corrections to all excited state energies. b) Calculate the first order correction to the ground state wave function.

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Q2) One dimensional harmonic oscillator with the Hamiltonian
p2
1
+zmw²x²
2m
2
Но
is perturbed by
A Hj = 1 x4
a) Calculate the first order corrections to all excited state energies.
b) Calculate the first order correction to the ground state wave function.
Transcribed Image Text:Q2) One dimensional harmonic oscillator with the Hamiltonian p2 1 +zmw²x² 2m 2 Но is perturbed by A Hj = 1 x4 a) Calculate the first order corrections to all excited state energies. b) Calculate the first order correction to the ground state wave function.
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