Avoiding Negative Probabilities in Relativistic Quantum Mechanics.

Nyambuya, G. G. (2013) Avoiding Negative Probabilities in Relativistic Quantum Mechanics.

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Official URL: http://ir.nust.ac.zw/xmlui/handle/123456789/294


This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.,As currently understood since its discovery, the bare Klein-Gordon theory consists of negative quantum probabilities which are considered to be physically meaningless if not outright obsolete. Despite this annoying setback, these negative probabilities are what led the great Paul Dirac in 1928 to the esoteric discovery of the Dirac equation. The Dirac equation led to one of the greatest advances in our understanding of the physical World. In this reading, we ask the seemingly senseless question, ?Do negative probabilities exist in quantum mechanics?? In an effort to answer this question, we arrive at the conclusion that depending on the choice one makes of the quantum probability current, one will obtain negative probabilities. We thus propose a new quantum probability current of the Klein-Gordon theory. This quantum probability current leads directly to positive definite quantum probabilities. Because these negative probabilities are in the bare Klein-Gordon theory, intrinsically a result of negative energies, the fact that we-here arrive at a theory with positive probabilities, means that negative energy particles are not to be considered problematic as is the case in the bare Klein-Gordon theory. From an abstract-objective stand-point; in comparison with positive energy particles, the corollary is that negative energy particles should have equal chances to exist. As to why these negative energy particles do not exist, this is analogous to asking why is it that Dirac?s antimatter does not exist in equal proportions with matter. This problem of why negative energy particles do not exist in equal proportions with positive energy particles is a problem that needs to be solved by a future theory.,Research Board, National University of Science and Technology.

Item Type: Article
Uncontrolled Keywords: Klein-Gordon equation,Schr?odinger equation,Probability,Negative probability
Divisions: Universities > State Universities > National University of Science and Technology
Depositing User: Mr. Edmore Sibanda
Date Deposited: 30 Nov 2015 23:01
Last Modified: 30 Nov 2015 23:01
URI: http://researchdatabase.ac.zw/id/eprint/1130

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