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Harmonic Oscillator

  • Thread starter Talib
  • Start date
  • #1
7
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Hello,

A harmonic oscillator is in the initial state:
Psi(x, 0) = Phi_n (x)
where Phi_n(x) is the nth solution of the time-independent Schr¨odinger equation.
What is Psi(x, t)?

Any clue?

Thanks
 

Answers and Replies

  • #2
quasar987
Science Advisor
Homework Helper
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Psi(x, t) is the solution of the time dependant Schrödinger equation (TDSE). The TDSE is a separable partial differential equation. More precisely, the solution to the TDSE is the product of the TISE and of [itex]\exp(iEt/\hbar)[/tex]:

[tex]\Psi(x,t)=\psi(x)e^{iEt/\hbar}[/tex]
 
  • #3
7
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Thanks alot :):)
 

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