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On the classical limit of quantum mechanics and the threat of fundamental graininess and chaos to the correspondence principle
classical limit of quantum mechanics threat of fundamental graininess correspondence principle
2010/12/16
The aim of this paper is to review the classical limit of Quantum
Mechanics and to precise the well known threat of chaos (and fundamental graininess) to the correspondence principle. We will introdu...
Complementarity in categorical quantum mechanics
Complementarity categorical quantum mechanics
2010/12/15
We relate notions of complementarity in three layers of quantum mechanics:(i) von Neumann algebras, (ii) Hilbert spaces, and (iii) orthomodular lattices.
A review of fundamentals and physical applications of fractional quantum mechanics has been presented.
Equations of motion in General Relativity and Quantum Mechanics
non-geodesic motion Dirac equation equations of motion Maxwell-Boltzmann distribution
2010/12/16
In a previous article a relationship was established between the linearized metrics of General Relativity associated with geodesics and the Dirac Equation of quantum mechanics.
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
supersymmetry separation of variables integrability solvability
2010/12/13
Two different approaches are formulated to analyze two-dimensional quantum models which are not amenable to standard separation of variables. Both methods are essentially based on supersymmetrical sec...