Title: Complex Trajectories and Dynamical Origin of Quantum Probability

Moncy Vilavinal John

Department of Physics
St. Thomas College
Kozhencherry - 689 641
Kerala
India



Abstract:

Complex quantum trajectories, which were first obtained from a modified de
Broglian 
mechanics, demonstrate that Born's probability axiom in quantum mechanics
originates 
from dynamics itself. We show that a normalisable probability density can be 
defined for the entire complex plane, though there may be regions where the 
probability is not locally conserved. Examining this for some simple
examples such 
as the harmonic oscillator, particle in an infinite square well, etc., we
also find 
why there is no appreciable complex extended motion in the classical regime.