2. It is known that the harmonic oscillator has a Hamiltonian (p²) x² + mw? 2m H, 2 and an electric field of H, = qex With the information known, determine the value of the first-order and second-order energy shifts. (Hint: Use Equation x which contains the Creation operator (a) and the Annihilation operator (a*)
2. It is known that the harmonic oscillator has a Hamiltonian (p²) x² + mw? 2m H, 2 and an electric field of H, = qex With the information known, determine the value of the first-order and second-order energy shifts. (Hint: Use Equation x which contains the Creation operator (a) and the Annihilation operator (a*)
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Transcribed Image Text:2. It is known that the harmonic oscillator has a Hamiltonian
(p*)
+ mw? -
2m
x²
H.
2
and an electric field of
H = qex
With the information known, determine the value of the first-order and
second-order energy shifts. (Hint: Use Equation x which contains the
Creation operator (a) and the Annihilation operator (a+)
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