Quantum trajectories and schematic flow of probability: Conserved probability and conserved probability current
The geometry of probability in quantum mechanics is explored. It is argued that the continuity of wave function implies continuity of probability, and continuity of probability results into the conservation of probability and probability flux. The idea of conserved probability
is revisited, and it is logically extended to explore probability current and conserved probability flux. The discussion also presents a visual illustration of the probabilistic rationale of tunnel effect.
Keywords: Conserved Probability; Conserved Probability Flux; Probability and Geometry; Projective Hilbert Space; Quantum State Space; Statistical Geodesics
Document Type: Research Article
Publication date: 18 June 2015
- Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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