Quantum Mechanics 2 2. Consider a particle moving in a simple harmonic oscillator potential. The Hamiltonian is H0?=2mp2?+21?m?2x2. In addition, there is a small perturbation in the system H?=?x3. Use perturbation theory to find: (a) Energy eigenvalues to the second order of ?. (b) Eigenstates to the first order of ?.

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Quantum Mechanics 2  2. Consider a particle moving in a simple harmonic oscillator potential. The Hamiltonian is H0?=2mp2?+21?m?2x2. In addition, there is a small perturbation in the system H?=?x3. Use perturbation theory to find: (a) Energy eigenvalues to the second order of ?. (b) Eigenstates to the first order of ?.

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