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The Fourier Transform and Principles of Quantum Mechanics
Ho Chi Minhcity Physical Association, Ho Chi Minhcity, Vietnam
- 1 Ho Chi Minhcity Physical Association, Ho Chi Minhcity, Vietnam
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Abstract
From the hypotheses that the position-representation of a physical state is the Fourier transform of its momentum-representation and that the timerepresentation is 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 the annihilation/creation of a photon from excitation/de-excitation of an atom following Bohr.
KeywordsFourier Transform of BraObtaining Dirac Commutation Relation and Principles of Quantum Mechanics
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