Quantum non-equilibrium

Quantum non-equilibrium is a concept within stochastic formulations of the De Broglie–Bohm theory of quantum physics.

Quantum non-equilibrium:

$\rho (X,t)\neq |\psi (X,t)|^{2}$

Relaxation to quantum equilibrium:

$\rho (X,t)\to |\psi (X,t)|^{2}$

Quantum equilibrium hypothesis:

$\rho (X,t)=|\psi (X,t)|^{2}$

with $\rho (X,t)$ representing the probability density function

and $\psi (X,t)$ representing the wave function.

Diagram made by Antony Valentini in a lecture about the De Broglie–Bohm theory. Valentini argues quantum theory is a special case of a wider physics