Operational time of arrival in quantum phase space

Arrival Time in Quantum Mechanics

marginal behavior of the quantum potential in extended phase space

here, the concept of quantum potential that has been illustrated in extended phase space (eps) in previous works is explored for its marginal behavior. unlike in configuration space, different representations of the quantum mechanics can be found in eps when exploiting appropriate canonical transformations. these canonical transformations revealed that there exist several representations in whi...

Time of arrival in quantum mechanics.

We study the problem of computing the probability for the time-of-arrival of a quantum particle at a given spatial position. We consider a solution to this problem based on the spectral decomposition of the particle's (Heisenberg) state into the eigenstates of a suitable operator, which we denote as the \time-of-arrival" operator. We discuss the general properties of this operator. We construct...

Testing operational phase concepts in quantum optics

An experimental comparison of several operational phase concepts is presented. In particular, it is shown that statistically motivated evaluation of experimental data may lead to a significant improvement in phase fitting upon the conventional Noh, Fougères and Mandel procedure. The analysis is extended to the asymptotic limit of large intensities, where a strong evidence in favor of multi–dime...

Time-of-arrival probabilities and quantum measurements

We study the construction of probability densities for time-of-arrival in quantum mechanics. Our treatment is based upon the facts that (i) time appears in quantum theory as an external parameter to the system, and (ii) propositions about the time-of-arrival appear naturally when one considers histories. The definition of time-of-arrival probabilities is straightforward in stochastic processes....