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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36c9c08b-6c70-43dd-abc6-e25bd3a8b4c8%2F7bfb63de-2650-4a66-bf38-ebbda5636e22%2Fbv8aaz_processed.png&w=3840&q=75)
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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