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How is energy an eigenvalue? Do the math. Kinetic energy= T= 1/2 mv^2 = p^2 /...

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Physics

How is energy an eigenvalue? Do the math.

Kinetic energy= T= 1/2 mv^2 = p^2 / 2m = h^2 / 2m Lambda^2

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3.6 Ratings (334 Votes)
atomic structure can beautifully be described by Bohrs old quantum theory in which it was hypothesized that only the discrete steplike values of energy are allowed for the atomic stationary statesand these states are determined by the quantum conditionWe learned that this old quantum theory can well explain the structure of hydrogen atom Then we have a question whether Bohrs old quantum theory can be derived from quantum mechanics Does the Schroedinger equation bring out the stationary states with discrete energies Energy Eigenvalues of BoundStatesWe learned on the page 16 EnergyEigenvalues Eigenstates that if we treat a harmonic oscillator spring vibration with quantum mechanics we could obtain the eigenstates with the discrete energy eigenvalues Such discrete or steplike eigenvalues are not only in a harmonic oscillator These are a common property of the states    See Answer
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