QM1.5: The Free Particle - Calculating our wave packet

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Uploaded by on Jun 3, 2008

Now comes the rigorous calculations involving difficult integrals to get our end product - a wave packet with wave number k₀ modulated by the Gaussian envelope centered at the origin.

For an in-depth study, check out www.gaussianmath.com

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  • The Free Particle

    AndDropCapend

    Pen cap marker cap

    donylee 10:22 / 10:36

    Pen cap marker cap

    Calculating our wave packet

    thank you

  • The Free Particle

    AndDropCapend

    Pen cap marker cap

    donylee 10:22 / 10:36

    Pen cap marker cap

    Calculating our wave packet

    thank you

  • A Gaussian Wave Packet

    GAutierMississippiKaliel

    A Gaussian Wave Packet

    QM1.4: The Free Particle

    Quesadilla FromRestaurauT

    La Fiesta Brava From SusaN

    The Free Particle - CalculatiNg our wave packetwave

    donyleeLee 5:45

    packetwave

    just say lays'

  • nice

  • interesting. a lot of computation for such a simple case. about 40-50 minutes of lecture just to cover it! This is much easier to understand now that i've learned about the Gaussian integral which you used a few times. Next i need to learn more about Fourier transforms cause that's a little unclear to me. Now if you had not take t = 0, would the solution simple have had exp(-iEt/h) term in it? since that term is constant w/respect to k wouldn't it be unaffected by the integration?

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