- 8 Ad X 20 Consider A One Dimensional Harmonic Oscillator With A Perturbation Of V Where A Is The Strength Of Th 1 (87.14 KiB) Viewed 47 times
= 8. ad(x), (20) Consider a one dimensional harmonic oscillator, with a perturbation of V₂ where a is the strength of th
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= 8. ad(x), (20) Consider a one dimensional harmonic oscillator, with a perturbation of V₂ where a is the strength of th
= 8. ad(x), (20) Consider a one dimensional harmonic oscillator, with a perturbation of V₂ where a is the strength of the perturbation, and 8(x) is the Dirac delta function. (For positive a, this could represent a longer range attractive force with a very short range repulsion). For the ground state, calculate: (a) The first order perturbation to the energy. (b) The first order perturbation to the wavefunction. (c) The second order perturbation to the energy. (d) Consider the first order perturbation to the energy of the first excited state. Can you determine that value without doing calculations?
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