A time-independent force , where is a small constant, is applied to a 3D... · PHYSICS Dataset #6983

Physics · modern-physics

Problem

A time-independent force F=μ(nxy+nyx)\mathbf{F}=\mu\left(\mathbf{n}_{x} y+\mathbf{n}_{y} x\right), where μ\mu is a small constant, is applied to a 3D harmonic oscillator of mass mm and frequency ω0\omega_{0}. Calculate, in the first order of the perturbation theory, the effect of the force upon the ground state energy of the oscillator, and its lowest excited energy level. How small should the constant μ\mu be for your results to be quantitatively correct?

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