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Instability of quantum equilibrium in Bohm's dynamics.
Samuel Colin1, Antony Valentini2
1Department of Physics and Astronomy , Clemson University , Kinard Laboratory, Clemson, SC 29634-0978, USA ; Centre for Quantum Dynamics , Griffith University , Brisbane, Queensland 4111, Australia.
Proceedings. Mathematical, Physical, and Engineering Sciences
|November 11, 2014
Summary
Bohm's quantum dynamics is unstable and does not relax to observed quantum mechanics. De Broglie's dynamics is stable and consistent with quantum theory, making it a more tenable physical theory.
Area of Science:
- Quantum mechanics
- Theoretical physics
- Foundations of physics
Background:
- Bohm's quantum dynamics, a deterministic interpretation of quantum mechanics, allows for initial conditions deviating from standard quantum predictions.
- De Broglie's first-order dynamics offers an alternative framework with different constraints on initial conditions.
Purpose of the Study:
- To analyze the stability and relaxation properties of Bohm's second-order dynamics.
- To compare Bohm's dynamics with de Broglie's first-order dynamics regarding their consistency with observed quantum theory.
Main Methods:
- Consideration of arbitrary initial conditions in phase space for Bohm's dynamics.
- Analysis of the relaxation behavior of non-equilibrium states in both Bohmian and de Broglie dynamics.
Main Results:
- Bohm's extended non-equilibrium states are shown to be unstable and do not generally relax.
- De Broglie's dynamics does not permit non-standard momenta and demonstrates efficient relaxation to the Born rule.
Conclusions:
- Bohm's dynamics is argued to be physically untenable due to its instability and failure to reproduce effective quantum theory.
- De Broglie's dynamics is presented as a more physically realistic and tenable theory consistent with observational quantum mechanics.
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