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Sayan Hati posted an Question
May 15, 2020 • 00:14 am 30 points
  • IIT JAM
  • Physics (PH)

I m new to qm so facing problems in the basics, in this given equation of wave function , in order to verify the schroedinger wave equation how will i

I m new to QM so i m facing problems in the basics, in this given equation of wave function , in order to verify the Schroedinger wave equation how will i find the potential related to this harmonic oscillator, if i get the potential energy i can partial differentiate other quantities and feed it in the Schroedinger equation and verify it

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  • comment-profile-img>
    Dhairya sharma

    one more thing dear the solution which is shown is for time independent wave fxn you have to use this wave eqn.

    cropped2228854063721114763.jpg
  • comment-profile-img>
    Dhairya sharma best-answer

    yes dear we can calculate potential from the sr eqn only when we know the value of energy. but here potential is defined that it is harmonic oscillator type so no need to calculate potential.if they will ask for potential they surely give uh wave fxn and value if energy.

  • comment-profile-img>
    Dhairya sharma

    apply time dependent Schroedinger eqn put values in eqn and put energy in terms of operator and then. we get Lhs = rhs. if hv any prblm write me again.

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    my question is, the value of V(x) that has to be substituted in the Schrödinger equation can be calculated from the equation of Wave function or its has to calculated from the conditions of the harmonic oscillator??

  • comment-profile-img>
    Ruby negi

    solution.

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    can V(x) be found out from the wavefunction itself?

    eduncle-logo-app

    yeah it will be found itself but here you have to prove left hand side equal to right hand side..

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    Ruby negi Best Answer

    put the wavefunction in this Schrodinger equation ,youwill get ur desired result.

    cropped192846458.jpg
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