Stochastic mechanics and quantum interference

Stochastic Processes and Quantum Mechanics

Interference and Distinguishability in Quantum Mechanics

Quantitative measures are introduced for the indistinguishability U of two quantum states in a given measurement and the amount of interference I observable in this measurement. It is shown that these measures obey an inequality U ≥ I which can be seen as an exact formulation of Bohr’s claim that one cannot distinguish between two possible paths of a particle while maintaining an interference p...

Quantum mechanics, interference, and the brain

In this paper we discuss the use of quantum mechanics to model psychological experiments, starting by sharply contrasting the need of these models to use quantum mechanical nonlocality instead of contextuality. We argue that contextuality, in the form of quantum interference, is the only relevant quantum feature used. Nonlocality does not play a role in those models. Since contextuality is also...

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.

Controlled quantum evolutions and stochastic mechanics

We perform a detailed analysis of the non stationary solutions of the evolution Fokker Planck equations associated to either stationary or non stationary quantum states by the stochastic mechanics For the excited stationary states of quantum systems with singular velocity elds we explicitely discuss the exact solutions for the HO case Moreover the possibility of modi fying the original potentia...