Volume 4, Issue 1, March 2018, Page: 8-14
Properties of Phase Space Wavefunctions and Eigenvalue Equation of Momentum Dispersion Operator
Ravo Tokiniaina Ranaivoson, Theoretical Physics Department, Institut National des Sciences et Techniques Nucléaires, Antananarivo, Madagascar
Raoelina Andriambololona, Theoretical Physics Department, Institut National des Sciences et Techniques Nucléaires, Antananarivo, Madagascar
Hanitriarivo Rakotoson, Theoretical Physics Department, Institut National des Sciences et Techniques Nucléaires, Antananarivo, Madagascar
Received: Nov. 30, 2017;       Accepted: Jan. 18, 2018;       Published: Feb. 23, 2018
DOI: 10.11648/j.ijamtp.20180401.12      View  1300      Downloads  100
Abstract
This paper is a continuation of our previous works about coordinate, momentum, dispersion operators and phase space representation of quantum mechanics. It concerns a study on the properties of wavefunctions in the phase space representation and the momentum dispersion operator, its representations and eigenvalue equation. After the recall of some results from our previous papers, we give most of the main properties of the phase space wavefunctions and consider some examples of them. Then we establish the eigenvalue equation for the differential operator corresponding to the momentum dispersion operator in the phase space representation. It is shown in particular that any phase space wavefunction is solution of this equation.
Keywords
Quantum Mechanics, Phase Space Representation, Wavefunction, Eigenvalue Equation, Dispersion Operator
To cite this article
Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona, Hanitriarivo Rakotoson, Properties of Phase Space Wavefunctions and Eigenvalue Equation of Momentum Dispersion Operator, International Journal of Applied Mathematics and Theoretical Physics. Vol. 4, No. 1, 2018, pp. 8-14. doi: 10.11648/j.ijamtp.20180401.12
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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