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Wave function changes phase

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Reference no: EM13887660

A particle starts out (at time t = 0) in the N th state of the infinite square well. Now the  "floor" of  the well  rises  temporarily  (maybe  water  leaks in, and  then  drains out  again),  so that  the  potential  inside  is unifonn  but  time dependent:  Vo(t ), with  Vo(O)  = Vo( T) = 0.

(a) Solve  for  the  exact   t111 (t),  usi ng  Equation  9.82,  and  show  that   the  wave function  changes  phase, bu t  no  transitions  occur.  Find  the  phase  change, (T) , in  tenns of  the function Vo(t).

(b) Analyze the same problem in first-order perturbat ion theory, and compare your answers.

Reference no: EM13887660

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