Quantum Equilibrium in Stochastic de Broglie–Bohm–Bell Quantum Mechanics

Bohmian Mechanics and Quantum Equilibrium

We report here on our work on Bohmian mechanics. A much more detailed presentation will be published elsewhere [7]. According to the quantum formalism, measurements performed on a quantum system with definite wave function typically yield random results. However, the quantum dynamics governing the evolution of the wave function over time, at least when no measurement is being performed, and giv...

Momentum in stochastic quantum mechanics

Momentum is analyzed as a random variable in stochastic quantum mechanics. Arbitrary potential energy functions are considered. The oscillator is presented as an example.

Stochastic Processes and Quantum Mechanics

Continual Measurements in Quantum Mechanics and Quantum Stochastic Calculus

2.1 Quantum stochastic calculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 The Fock space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 The Weyl operators and the Bose fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Quantum stochastic integrals . . . . . . . . . . . . . . . . . . . . . . . . . ...

On stochastic motion in quantum mechanics

We want to investigate the stochastic parameters, drift and diffusion, in Fényes’ and Nelson’s approach of stochastic mechanics. In contrast to the postulate of a constant diffusion parameter, we consider coordinate dependent alternatives. Therefore, we assume that the trajectory of a particle can be described by a continuous stochastic process with spaceand/or time-dependent diffusion. For an ...