We present a causal Hamiltonian quantum mechanics in 2n-dimensional phase space which is more realistic than de Broglie-Bohm mechanics. The positive definite phase space density reproduces as marginals the correct quantum probability densities of n+ 1 different complete commuting sets of observables e.g. positions, momenta and n− 1 other sets.

BACKGROUND The analysis of risk for the population residing and/or working in contaminated areas raises the topic of commuting. In fact, especially in contaminated areas, commuting groups are likely to be subject to lower exposure than residents. Only very recently environmental epidemiology has started considering the role of commuting as a differential source of exposure in contaminated areas...

let g be a group. a subset x of g is a set of pairwise noncommuting elements if xy ̸= yx for any two distinct elements x and y in x. if |x| ≥ |y | for any other set of pairwise non-commuting elements y in g, then x is said to be a maximal subset of pairwise non-commuting elements. in this paper we determine the cardinality of a maximal subset of pairwise non-commuting elements in any non-abelian...

Let G be a group. A subset X of G is a set of pairwise noncommuting elements if xy ̸= yx for any two distinct elements x and y in X. If |X| ≥ |Y | for any other set of pairwise non-commuting elements Y in G, then X is said to be a maximal subset of pairwise non-commuting elements. In this paper we determine the cardinality of a maximal subset of pairwise non-commuting elements in any non-abelian...

Kanishka Bhaduri Netflix Inc. 100 Winchester Cir. Los Gatos, CA, 95032 United States Tel.: 408 540 3331 (office) E-mail: [email protected] Abstract An automatic service to match commuting trips has been designed. Candidate carpoolers register their personal profile and a set of periodically recurring trips. The Global CarPooling Matching Service (GCPMS) shall advise registered candidates ho...

No quantum measurement can give full information on the state of a quantum system; hence any quantum feedback control problem is neccessarily one with partial observations, and can generally be converted into a completely observed control problem for an appropriate quantum filter as in classical stochastic control theory. Here we study the properties of controlled quantum filtering equations as...

The commuting probability of a finite group G $G$ is the that two randomly chosen elements commute. Let S ⊆ ( 0 , 1 ] $S\subseteq (0,1]$ denote set all possible probabilities groups. We prove ∪ { } $S\cup \lbrace 0\rbrace$ closed, which was conjectured by Joseph in 1977.

A rigorous general definition of quantum probability is given, which is valid not only for elementary events but also for composite events, for operationally testable measurements as well as for inconclusive measurements, and also for non-commuting observables in addition to commutative observables. Our proposed definition of quantum probability makes it possible to describe quantum measurement...

In the consistent histories formulation of quantum theory, the probabilistic predictions and retrodictions made from observed data depend on the choice of a consistent set. We show that this freedom allows the formalism to retrodict contrary propositions which correspond to orthogonal commuting projections and which each have probability one. We also show that the formalism makes contrary proba...

We describe the standard model of random walk in random environment (RWRE) on Z. Let Ω be a Polish space and S its Borel σ-algebra. Let {Tz : z ∈ Z} be a group of continuous commuting bijections on Ω: Tx+y = TxTy and T0 is the identity. Let P be a probability measure on (Ω,S) that is ergodic under this group. In other words, the σ-algebra of Borel sets invariant under {Tz} is trivial under P. D...