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Nonstationary states

  • Thread starter KHU2
  • Start date
1
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8)
Consider a particle in an infinite square well of width L. Initially, (at t=0) the system is
described by a wavefunction that is equal parts a superposition of the ground and first
excited states:
Ψ(x, 0)=C[Ψ1(x)+Ψ2(x)]
a) Find C so that the wavefunction is normalized
b) Find the wave function at any later time t.
c)show that the expectation value of the energy in this state is (E1+E2)/2, where E1 AND E2 ARE THE ENERGIES OF THE FIRST TWO STATIONARY STATES.


I DID a) and b) , i don't how to do c) , could you help me
 

Answers and Replies

siddharth
Homework Helper
Gold Member
1,110
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So, if [tex]\psi(x,t)[/tex] is your wavefunction, what is the expectation value of the Hamiltonian operator?
 
olgranpappy
Homework Helper
1,271
3
p.s. you may just do it at t=0, but dont forget to prove that you *can*.
 
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