The Fourier Transform and Principles of Quantum Mechanics ()
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.
Share and Cite:
Si, D. (2018) The Fourier Transform and Principles of Quantum Mechanics.
Applied Mathematics,
9, 347-354. doi:
10.4236/am.2018.94026.
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