12. Aalok Pandya, Quantum trajectories and schematic flow of probability: Conserved probability and conserved probability current

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Volume 28: Pages 193-197, 2015

Quantum trajectories and schematic flow of probability: Conserved probability and conserved probability current

Aalok Pandyaa)

Department of Physics, University of Rajasthan, Jaipur 302004; India and Department of Physics, JECRC University, Jaipur 303905, India

 

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.

 

La géométrie des probabilités dans la mécanique quantique est explorée.Il est soutenu que la continuité de la fonction d'onde implique la continuité des probabilitéset que la continuité des probabilités implique à son tour la conservation des probabilités et du flux de probabilités. L'idée de la conservation des probabilités est revisitée et est logiquement étendue afin d'explorer le courant de probabilités ainsi que le flux de la conservation de probabilités. La discussion présente également une illustration visuelle de la probabilité rationnelle de l'effet tunnel.

 

Key words: Probability and Geometry; Statistical Geodesics; Conserved Probability; Conserved Probability Flux; Quantum State Space; Projective Hilbert Space.

 

Received: June 25, 2014; Accepted: April 16, 2015; Published Online: May 4, 2015

 

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