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Mathematical Principals of Dynamic Systems and the Foundations of Quantum Physics
Mathematical Principals Dynamic Systems the Foundations of Quantum Physic
2011/9/1
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must posses...
Experimental studies of infinite (unrestricted at least in one direction) quantum particle motion using probe nanotechnologies have revealed the necessity of revising previous concepts of their motion...
Computations in Finite Groups and Quantum Physics
Computations Finite Groups Quantum Physics
2011/7/28
Abstract: Mathematical core of quantum mechanics is the theory of unitary representations of symmetries of physical systems. We argue that quantum behavior is a natural result of extraction of "observ...
Noether Symmetries and Covariant Conservation Laws in Classical, Relativistic and Quantum Physics
Noether Symmetries Quantum Physics Covariant Conservation Laws
2010/3/18
We review the Lagrangian formulation of Noether symmetries (as well as "generalized Noether symmetries") in the framework of Calculus of Variations in Jet Bundles, with a special attention to so-calle...
Noncommutative analysis and quantum physics I. Quantities, ensembles and states
axiomatization of physics Bell inequality Bohmian mechanics
2010/10/15
In this sequence of papers, noncommutative analysis is used to give a consistent axiomatic approach to a unified conceptual foundation of classical and quantum physics, free of undefined terms.