Q2: Anharmonic Oscillator 25 points (graded) Consider the anharmonic oscillator with Hamiltonian p? HE 2m mw?f? + 1/2 hw

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Q2 Anharmonic Oscillator 25 Points Graded Consider The Anharmonic Oscillator With Hamiltonian P He 2m Mw F 1 2 Hw 1 (75.19 KiB) Viewed 32 times

Q2: Anharmonic Oscillator 25 points (graded) Consider the anharmonic oscillator with Hamiltonian p? HE 2m mw?f? + 1/2 hw d3 where d2 = and we treat the term as a perturbation. PARTA 6.0 points (graded) Find the shift AE in the ground state energy to order ? Write your answers in terms of m..wand ΔΕ = PART B 6.0 points (graded) Find the corrected ground state (0) to order , writing your answer as a sum of harmonic oscillator states. Include, if required, the appropriate normalization constant that makes the state of unit norm to first order in Write your answers in terms of and the unperturbed harmonic oscillator states in()). with 10() the ground state. 10) = PART C 5.0 points (graded) Find the i expectation value (020) in the corrected ground state to leading order in l. Write your answers in terms of d and X