Complex Trajectories and Dynamical Origin of Quantum Probability

Details Complex Trajectories and Dynamical Origin of Quantum Probability Complex Trajectories and Dynamical Origin of Quantum Probability

2010-07-22

arxiv.org/abs/1007.3842v1

Physics

Quantum Physics

Presented in the Quantum Trajectories Workshop CCP6 QT10, Bangor University, Wales, UK, 12-14 July 2010

Scientific paper

Complex quantum trajectories, which were first obtained from a modified de Broglie-Bohm quantum 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, we also find why there is no appreciable complex extended motion in the classical regime.

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