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Homework Help: Triggering a Transition Between Quantum States

  1. Apr 5, 2010 #1
    Consider a particle in an infinite square well described initially by a wave that is superposition of the ground state and the first excited states of the well: Ψ(x,t = 0) = C[ψ1(x) +ψ 2 (x)]
    (a) show that the value C =1/ 2 normalizes this wave, assuming 1 ψ and 2 ψ are themselves normalized.
    (b)find Ψ(x,t) at any later time t.
    (c) show that the superposition state is not a stationary state, but that the average energy of this state is the arithmetic mean (E1+E2)/2 of the ground state energy E1 and the first excited state energy E2.
     
  2. jcsd
  3. Apr 5, 2010 #2

    kuruman

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    Hi vs667290, welcome to PF. Please use the template for homework help, show us the relevant equations and your approach to the problem before asking for help.
     
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