Suppose a particle of mass m and charge q is in a one-dimensional harmonic oscillator potential...

Suppose a particle of mass m and charge q is in a one-dimensional harmonic oscillator potential with natural frequency ω₀. For times t > 0 a time-dependent potential of the form
V₁(x) = εxcos(ωt) is turned on. Assume the system starts in an initial state|n>.

1. Find the transition probability from initial state |n> to a state |n'> with n' ≠ n.

2. Find the transition rate (probability per unit time) for the transition |n>→|n'>.

Expert Solution

genius_generous answered 2 years ago

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Consider a particle of mass m moving in a two-dimensional harmonic oscillator potential : U(x,y)=...

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