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Angular frequency of a matter patter

  1. Jan 26, 2009 #1
    By the de Broglie relations: E = [tex]\hbar * \omega[/tex]

    Is the angular frequency ([tex]\omega[/tex]) in this equation an average or is it a constant? In other words, does the angular frequency (or the wavenumber, k) for a matter particle change, for instance, in differing gravitational fields, such as we see for a photon with gravitational redshift?
  2. jcsd
  3. Jan 27, 2009 #2
    I can restate the question in a related way.

    Assume a spin-1/2 particle is described by a probability amplitude function ([tex]\Psi[/tex]) with angular frequency ([tex]\omega[/tex]) or wavenumber (k). The probability amplitude distribution for that particle exists within a volume of space-time. Assume that within that volume of space-time, there is an electromagnetic field that varies significantly in strength over that volume. How does that varying electromagnetic field affect the wavenumber/angular frequency of the particle's probability amplitude distribution?
  4. Jan 28, 2009 #3


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    Er... I have almost no clue on what you're getting at here.

    Let's look at a less "exotic" example, shall we? Something that every single physics undergraduate does - tunneling through a square potential barrier. Look at the wave vector as it goes through the various regions. Does it change?

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