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The Fourier Transform and Principles of Quantum Mechanics

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Document pages: 8 pages

Abstract: From the hypotheses that the position-representation of a physical state isthe Fourier transform of its momentum-representation and that the timerepresentationis the inverse Fourier transform of its energy-representation,we are able to obtain the Planck relation E = hν , the de Broglie relation p = h λ , the Dirac fundamental commutation relation, the Schr?dinger equations,the Heisenberg uncertainty principle in quantum mechanics, and theannihilation creation of a photon from excitation de-excitation of an atomfollowing Bohr.

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