Journal
FOUNDATIONS OF PHYSICS
Volume 49, Issue 1, Pages 1-23Publisher
SPRINGER
DOI: 10.1007/s10701-018-0227-3
Keywords
Quantum relaxation; Quantum equilibrium; Pilot-wave theory; de Broglie-Bohm theory
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We investigate whether small perturbations can cause relaxation to quantum equilibrium over very long timescales. We consider in particular a two-dimensional harmonic oscillator, which can serve as a model of a field mode on expanding space. We assume an initial wave function with small perturbations to the ground state. We present evidence that the trajectories are highly confined so as to preclude relaxation to equilibrium even over very long timescales. Cosmological implications are briefly discussed.
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