A Concise Study about Fourier Transform and Principles of Quantum Mechanics| Chapter 7 | Research Highlights in Mathematics and Computer Science Vol. 2

 Based on the theory that the position-representation of a tangible state a> is the Fourier transform of its push-representation a> what the time-likeness a> is the inverse Fourier transform of allure energy-likeness a>, we are able to find the Planck connection E = hv, the de Broglie relation P=. Afterward, utilizing the Dirac arm of the sea function (x) and the property FTxf(x) = -iho, pFTxf(x) = -iho, pF(p) we get the links between drivers in ordinary and Hilbert spaces chief to the Dirac fundamental commutation connection [p, 2] = -thÎ, the Schrödinger equations, the Heisenberg principle of indeterminacy in quantum mechanics, the annihilation & invention of a photon from excitation & de-excitement of an atom according to Bohr.

Author(s) Details:

Do Tan Si,
HoChiMinh-City Physical Association, HoChiMinh-city, Vietnam.

Please see the link here: https://stm.bookpi.org/RHMCS-V2/article/view/8574