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Harmonics Oscillator

  • Thread starter Winzer
  • Start date
  • #1
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Homework Statement



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[tex] \psi_1=N x e^{-\frac{x^2}{\sigma}} [/tex] is an eigenfunction of the total energy operator(H).

Homework Equations


psi=N x exp[-x^2/K]


The Attempt at a Solution


I plugged in the above to the Schrodinger Equation-time indep. for Harmonic oscillator but I keep getting an x^2 dependence inside the calculation. Do I not plug this in?
 

Answers and Replies

  • #2
598
0
oh, I should be putting psi into d^2(psi)/dy^2 + (e-y^2) psi =0 where y=sqrt(mw/h) x. the asymtotic solution: e-->0. This is what is I should plug it into right?
 

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