The Fractional Schrodinger-Klein-Gordon Equation and Intermediate Relativism.

Jonathan Blackledge

doi:10.21427/d7f03c

The Fractional Schrodinger-Klein-Gordon Equation and Intermediate Relativism.

Jonathan Blackledge

Research output: Contribution to journal › Article › peer-review

Abstract

By considering a random walk model compounded in Einstein's evolution equation, we show that both the classical Schrodinger and Klein-Gordon equations can be viewed a s consequence of introducing a memory function. The purpose of this is to derive a wave equaiton that, on a phenomenological basis at least, describes the transitional characteristics of wave functions for spin-less particles that may exist in the intermediate of "semi relativistic regime.

Original language	English
Pages (from-to)	601-615
Journal	Mathematic Aeterna
Volume	3
Issue number	8
DOIs	https://doi.org/10.21427/d7f03c
Publication status	Published - 1 Jan 2013
Externally published	Yes

Keywords

random walk model
Einstein's evolution equation
classical Schrodinger equation
Klein-Gordon equation
memory function
wave equation
phenomenological basis
transitional characteristics
wave functions
spin-less particles
semi relativistic regime

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10.21427/d7f03cLicence: CC BY-NC-SA

Cite this

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AB - By considering a random walk model compounded in Einstein's evolution equation, we show that both the classical Schrodinger and Klein-Gordon equations can be viewed a s consequence of introducing a memory function. The purpose of this is to derive a wave equaiton that, on a phenomenological basis at least, describes the transitional characteristics of wave functions for spin-less particles that may exist in the intermediate of "semi relativistic regime.

KW - random walk model

KW - Einstein's evolution equation

KW - classical Schrodinger equation

KW - Klein-Gordon equation

KW - memory function

KW - wave equation

KW - phenomenological basis

KW - transitional characteristics

KW - wave functions

KW - spin-less particles

KW - semi relativistic regime

U2 - 10.21427/d7f03c

DO - 10.21427/d7f03c

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EP - 615

JO - Mathematic Aeterna

JF - Mathematic Aeterna

IS - 8

ER -

The Fractional Schrodinger-Klein-Gordon Equation and Intermediate Relativism.

Abstract

Keywords

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