Geometry and symmetry of quantum and classical-quantum dynamics.
The symmetry properties of quantum variational principles are considered. Euler-Poincare reduction theory is applied to the Dirac-Frenkel variational principle for Schrodinger's dynamics producing…
A baby Majorana quantum formalism
The aim of the present paper is to introduce and to discuss the most basic fundamental concepts of quantum physics by means of a simple and pedagogical example. An appreciable part of its content…
An introduction to strict quantization
- Computer Science
We present a short review of the approach to quantization known as strict (deformation) quantization, which can be seen as a generalization of the Weyl-Moyal quantization. We include examples and…
Dark Energy and Dark Matter Models
We revisit the problems of dark energy and dark matter and several models designed to explain them, in the light of some latest findings.
Optimizing Trap Release for Measuring Properties of Cold Atomic Clouds
An AtomChip is a device that allows the trapping and manipulation of cold atoms with high accuracy using potentials created on a substrate by employing lithographic methods similar to those used in…
Mathematical Structure of Quantum Decision Theory
- PhilosophyAdv. Complex Syst.
It is demonstrated that all known anomalies and paradoxes, documented in the context of classical decision theory, are reducible to just a few mathematical archetypes, all of which allow the finding of straightforward explanations in the frame of the developed quantum approach.
Phase space methods in finite quantum systems.
Quantum systems with finite Hilbert space where position x and momentum p take values in Z(d) (integers modulo d) are considered. Symplectic tranformations S(2ζ,Z(p)) in ζ-partite finite quantum…
Comparison of Quantum and Bayesian Inference Models
A quantum inference rule is derived and compared to the Bayesian rule for probabilistic inference, arguing that incompatibility often occurs when evidence is obtained from human judgments.
FA ] 2 1 Ju l 2 00 6 Eigenfunction Expansions and Transformation Theory
Generalized eigenfunctions may be regarded as vectors of a basis in a particular direct integral of Hilbert spaces or as elements of the antidual space Φ× in a convenient Gelfand triplet Φ ⊆ H ⊆ Φ×.…