In 1907, Einstein proposed a design of issue where by Each and every atom in a very lattice structure is really an independent harmonic oscillator. While in the Einstein design, Just about every atom oscillates independently—a number of equally spaced quantized states for each oscillator. Einstein was mindful that obtaining the frequency of the actual oscillations will be difficult, but he However proposed this idea because it was a particularly distinct demonstration that quantum mechanics could address the specific heat difficulty in classical mechanics. Peter Debye refined this design.[259] Adiabatic theory and action-angle variables
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Einstein relates this to Rayleigh scattering, and that is what comes about if the fluctuation sizing is way smaller than the wavelength, and which points out why the sky is blue.[221] Einstein quantitatively derived crucial opalescence from a cure of density fluctuations, and shown how both the impact and Rayleigh scattering originate within the atomistic Structure of issue. Special relativity
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Einstein mentioned in 1911 which the identical adiabatic principle displays that the amount that is quantized in almost any mechanical movement need to be an adiabatic invariant. Arnold Sommerfeld determined this adiabatic invariant as being the action variable of classical mechanics. Bose–Einstein statistics