Kathy Loves Physics

Discussion in 'Physics & Math' started by O. W. Grant, Mar 7, 2023.

  1. O. W. Grant Registered Senior Member

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  3. exchemist Valued Senior Member

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  5. O. W. Grant Registered Senior Member

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    Hi, exchemist,

    Max Planck Quantum Theory


    7:25 min.

    Energy equals aitch times Nu [nju:/ni].

    Since frequency is a number over a time (second) then
    the formula is not about Energy but Power (energy in one second)

    and

    Planck constant is about energy of One cycle.

    That is what I don't understand.

    It would be nice if someone explains that formula to me.

    Thank you.
     
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  7. exchemist Valued Senior Member

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    The dimensions of Planck's constant, h, are ML²/T whereas those of energy are ML²/T². So for example the SI units of h are J-sec.

    As you rightly say the dimensions of frequency are 1/T, so for example Hz.

    Thus the dimensions of hν are those of energy, not power: J-sec x 1/sec = J.

    In fact, the dimensions of Planck's constant, viz. energy x time, are those of an important quantity in physics, known as "action". This is a foundational concept in Hamilton's formulation of mechanics, which is how Schrödinger approached the question of how the electron behaves in an atom and which led to his famous equation Hψ = Eψ, in which H is something called the Hamiltonian operator.

    But Planck derived h empirically, before that.
     
    Last edited: Mar 7, 2023

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