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B De Broglie - Where's the rest?

  1. Dec 31, 2016 #1
    Given De Broglie's equations of a quantised wave:

    E = 2.Pi.hbar.c

    E = Energy
    Pi = PI (Ratio of circumference to radius)
    hbar = Planck's constant (Reduced over 2.Pi)
    c = celerity, causal displacement per time interval

    In most texts this is summarised as:

    E = h.nu

    h = Planck's constant
    nu = frequency

    And E is suggested to be the "total energy"

    And then further used to imply that it is related by:

    E= hf = mc^2


    Where is gamma? Why is there no consideration for Lorentz?
    How is a non-zero ground state accounted for?
  2. jcsd
  3. Dec 31, 2016 #2


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    Staff: Mentor

    Try this link for the relativistic form of these relationships: http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/debrog2.html
    I'm not sure I understand what you mean by "ground state" here. Can you give an example?
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