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Simultaneous Calculation of Momentum and Position of An Electron Present inside p-orbital of the Atom

Ravin Kumar

Published Jan 1, 2020• 0 citations
Publisher

Abstract

Heisenberg uncertainty principle suggests that momentum and position of an electron can not be correctly detected simultaneously in an atom. This paper proposes a theory which can be found useful in the simultaneous calculation of the momentum and position of an electron present in the atom.
DOI
10.2139/ssrn.3519720

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Until Heisenberg proposed the uncertainty principle in 1927, it was an open question whether models for the structure of matter reflected actual reality or were useful fictions for operational purposes. There wasn’t any sense in either case that there might be parameters it was impossible to determine. The uncertainty principle says that it is impossible to determine simultaneously the location and momentum of an electron. While it applies to a specific situation, ‘uncertainty’ is a good description for the entire approach of quantum theory. Schrödinger’s equations show that electrons behave simultaneously as waves and particles. The double-slit experiment, when a beam of light or electrons passes through two parallel slits, shows that the act of observation influences the behavior of the wave–particle duality. The ability of a pair of ‘entangled’ electrons (or other particles) to influence each other instantaneously appears to exceed the speed limit of light. Paradoxes of quantum behavior may even extend to biological situations. Intuition or common sense are no guide to quantum behavior.
The purpose of this study is to analyze the probability and uncertainty of electron linear momentum in with the Heisenberg uncertainty approach. Measurement of the position and momentum of atomic electrons is probabilistic. The probability and uncertainty of electron linear momentum are analysed analytically, and simulations of hydrogenic atoms' normalized radial wave function are performed. they can be viewed as hydrogenic atoms with only one electron orbital. The probability and uncertainty of electron linear momentum in decrease with increasing values of the principal quantum number n ≤ 3. While the uncertainty of the electron position is increasing. The results of this study are in accordance with the characteristics of position and linear momentum that are not commutable. The increase in the value of the main quantum number means that the electron's position against this is getting farther, and the speed in the orbital is getting smaller.