Superposition of states and orthonormalization

  • #1

Homework Statement



Consider a particle in a superposition of states given at time t=0 by Y(x,0)=C(y1(x)+y2(x)), where y1(x) and y2(x) are the stationary states with energies E1 and E2 respectively. if y1(x) and y2(x) are orthonormalized, what value of C is required to normalize Y(x,0)?

Homework Equations





The Attempt at a Solution


the orthonormalization is messing with my head, there is an example of normalizing wavefunctions in my book but this looks nothing like it. I am not sure of how to approach this problem.
 

Answers and Replies

  • #2
Redbelly98
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What equation expresses the requirement that Y(x,0) is normalized?
 
  • #3
that is not given, the only thing it asks for in this part of the problem is what value of C is required to normalize Y(x,0)...
 
  • #4
Redbelly98
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I realize it is not given in the problem statement. It should be given in your lecture notes or textbook. What does it mean, for a wavefunction to be normalized? Use the definition of "normalized", and apply it to this problem.
 
  • #5
ok, i see, but the example in the book has the initial wavefunction given as Y(x,0)=Cexp(-|x|/x0) where C and x0 are constants, is it possible to get this function into a similar format??
 

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