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Propagation of finite mass (spin-0) particles in refraction phenomenon

TitlePropagation of finite mass (spin-0) particles in refraction phenomenon
Publication TypeConference Proceedings
Year of Publication2559
Authorsอติรัฐ มากสุวรรณ์
Conference NameINTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICoMEIA2016): Proceedings of the 2nd International Conference on Mathematics, Engineering and Industrial Applications 2016
Volume1775
Number of Volumes030047
Date PublishedOctober 2016
PublisherAIP Conference Proceedings
Conference LocationSongkhla, Thailand
ISBN978-0-7354-1433-4
Abstract

The first way of thinking that made the law about the behavior for rays of light evidence was discovered by Fermat in about 1650. His idea was all of the possible paths from one point to another point. The behavior for rays of light takes the path which requires the shortest time. The propose in this research, we investigated the refraction phenomenon by using the technique of the Green’s function together with the product of two Gaussian probability density functions (PDFs). The Green’s function was solved in detail with appropriate boundary originating an idea from the nonrelativistic propagator model of the finite mass (spin-0) particle in quantum field theory viewpoint. The finite mass (spin-0) particle was emitted from external sources or emitter in one medium and then propagates into another medium with the key idea: every point on the junction surface between two mediums can affect the particle in reaching the detector embedded in the second medium with different amplitude depend upon the impacting point. Our main results, we compared the amplitude by disregard about the material property, the most probable detection sighting occurred when the finite mass (spin-0) particle propagate subject to the route that takes the least time, which corresponds to the refraction property of Fermat’s principle of least time for geometrical optics in classical physics.

URLhttps://aip.scitation.org/doi/10.1063/1.4965167
DOI10.1063/1.4965167