Decoherence is the most widely accepted mechanism to explain the loss of coherence in quantum systems. Here we show how simple (quantum) trajectory–based models can help to understand the physics behind decoherence processes. In particular, we will analyze with these models the relationship between decoherence and quantum contextuality in the double–slit experiment, where two (quantum) contexts...

We study the quantumZeno effect in quantum statistical mechanics within the operator algebraic framework. We formulate a condition for the appearance of the effect in W -dynamical systems, in terms of the short-time behaviour of the dynamics. Examples of quantum spin systems show that this condition can be effectively applied to quantum statistical mechanical models. Further, we derive an expli...

In the summer of 1926, a statistical element was introduced for the first time in the fundamental laws of physics in two papers by Born. After a brief account of Born's earlier involvements with quantum physics, including his bringing the new mechanics to the United States, the motivation for and contents of Born's two papers are discussed. The reaction of his colleagues is described.

We study in how far it is possible to reconstruct a graph from various Banach algebras associated to its universal covering, and extensions thereof to quantum statistical mechanical systems. It turns out that most the boundary operator algebras reconstruct only topological information, but the statistical mechanical point of view allows for complete reconstruction of multigraphs with minimal de...

Starting from the quantum theory of identical particles, we show how to define a classical mechanics that retains information about the quantum statistics. We consider two examples of relevance for the quantum Hall effect: identical particles in the lowest Landau level, and vortices in the Chern-Simons Ginzburg-Landau model. In both cases the resulting classical statistical mechanics is shown t...

This formula has been central in the development of path integral approaches to quantum theory, stochastic theory, and in quantum statistical mechanics [1, 2]. In particular, Suzuki has employed this to develop quantum statistical Monte Carlo methods [3, 4], general theory of path integrals with application to many-body theories and statistical physics [5], and more recently to mathematical phy...

There are many claims that quantum mechanics plays a key role in the origin and/or operation of biological organisms. The mechanism of the meiosis, mitosis and gametes life cycle from the view-point of quantum for human has been represented. The quantum gates have been used to simulate these processes for the first time. The reason of several hundred sperms has been explained in the male too

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...

In this talk I shall first make some brief remarks on quaternionic quantum mechanics, and then describe recent work with A.C. Millard in which we show that standard complex quantum field theory can arise as the statistical mechanics of an underlying noncommutative dynamics. In quaternionic quantum mechanics, the Dirac transition amplitudes 〈ψ|φ〉 are quaternion valued, that is, they have the for...

From Classical to Quantum Mechanics: " How to translate physical ideas into mathematical language " Abstract In this paper, we investigate the connection between Classical and Quantum Mechanics by dividing Quantum Theory in two parts:-General Quantum Axiomatics (a system is described by a state in a Hilbert space, observables are self-adjoints operators and so on...)-Quantum Mechanics properly ...