1. Answer question throughly with detailed steps since I don’t understand the problem. Consider a Hamiltonian describing a particle of charge q and mass m in a one-dimensional harmonic oscillator wellin an oscillating external electric field of magnitude E:1+2mw²â² – qEâ cos(wot)2m(a) Evaluate the equations of motion for operators p(t) and â (t) and express your answer in terms of their initialvalues at t = 0, namely â& (0) and ôp(0).(b) Evaluate the commutator of the position operator â (t) at different times, i.e.[â(t1), î (t2)] for tị # t2and thus show that operators that commute at the same time, may not commute at different times.

Given data, Hamiltonian is :- H=P22m+12mω2x2-qExcosωot

Answered: Consider a Hamiltonian describing a…

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