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(3) Consider the Hamiltonian given as H = +²+Fâ , where each term has a clear physical meaning. 2m 2 Specifically, we have a particle in a harmonic potential energy subjected to a uniform external force F. What is the energy spectrum of this Hamiltonian? Explain why the result makes sense and use a sketch of the potential energy as a function of x. Hint: Complete the square, and use problem 2 as a guide.

(3) Consider the Hamiltonian given as H = +²+Fâ , where each term has a clear physical meaning. 2m 2 Specifically, we have a particle in a harmonic potential energy subjected to a uniform external force F. What is the energy spectrum of this Hamiltonian? Explain why the result makes sense and use a sketch of the potential energy as a function of x. Hint: Complete the square, and use problem 2 as a guide.

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(3) Consider the Hamiltonian given as Ĥ = + + Fx , where each term has a clear physical meaning. 2m 2 Specifically, we have a particle in a harmonic potential energy subjected to a uniform external force F. What is the energy spectrum of this Hamiltonian? Explain why the result makes sense and use a sketch of the potential energy as a function of x. Hint: Complete the square, and use problem 2 as a guide.
Transcribed Image Text:(3) Consider the Hamiltonian given as Ĥ = + + Fx , where each term has a clear physical meaning. 2m 2 Specifically, we have a particle in a harmonic potential energy subjected to a uniform external force F. What is the energy spectrum of this Hamiltonian? Explain why the result makes sense and use a sketch of the potential energy as a function of x. Hint: Complete the square, and use problem 2 as a guide.
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