Research ArticleOpen accessIn the abstractNilpotence and the Generalized Uncertainty Principle (S)Nikos KalogeropoulosWe point out that some of the proposed generalized/modified uncertainty principles originate from solvable, or nilpotent at appropriate limits, "deformations" of Lie algebras. We briefly comment on formal aspects related to the well-posedness of one of these algebras. We point out a potential relation of such algebras with Classical Mechanics in the spirit of the symplectic non-squeezing theorem. We also … …Space Science International, Vol. 1, Issue 2 · 23 Jan 2014 · 7,308 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Quantum Mechanical Study of Structural and Electronic Dilution Effects in Paramagnetic Chemical Exchange Saturation Transfer AgentsWhelton A. Miller III, Preston B. MooreWe present a computational study of the effect of chemical modifications of the meta and para substituents in the coordinating pendant arm of a modified 1,4,7,10-tetraazacyclododecane-N, N’, N’’, N’’’-tetraamide (DOTAM) ligand on the Chemical Exchange Saturation Transfer (CEST) signal. Magnetic Resonance Imaging (MRI) is currently one of the most widely used techniques available. MRI has led to a new class … …Journal of Organic and Biomolecular Simulations, Vol. 1, Issue 1 · 11 Dec 2013 · 28,364 accessesView PDFCite
Research ArticleOpen accessIn the abstractFractional Calculus Theoretical Evolution for Radiation QuantitiesAmin Al-Okour, Sherin A. Sareireh, Abdullah Ajlouni, Abdul-Wali AjlouniProblem statement: Radiation dosimetry features depend on semi-empirical formulas that lack a strong mathematical framework. This is due to the fact that the microscopic radiation interaction with matter includes energy losses that have never been described properly in quantum mechanics, which deals with conserved energy systems. Approach: Using the recent theory of the quantization of nonconservative systems using fractional calculus. … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 2 Feb 2012 · 6,661 accessesView PDFCite
Research ArticleOpen accessIn the abstractFractional Quantum Field Theory on Multifractals SetsEl-Nabulsi Ahmad RamiProblem statement: This study is a contribution to the general program of describing complex dynamical systems using the tool of fractional calculus of variations. Approach: Following our previous work, fractional quantum field theory based on the fractional actionlike variational approach supported by Saxena-Kumbhat fractional integrals functionals, fractional derivative of order (α, β) and dynamical fractional exponent on multi-fractal sets is … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 15 Mar 2011 · 7,343 accessesView PDFCite
Research ArticleOpen accessIn the abstractInformatics and Physics Models of Recognitions of DNA Replication and Their Biological ApplicationsKang Cheng, Chang Hua ZouWe initially propose concepts of Informative Intensity, Informative Response Intensity and Informative Flux, with different expressions. In a special expression of electrostatics, we describe Informative Intensity, Informative Response Intensity and Informative Flux in terms of electric field intensity, electric field force and electric field flux respectively. In a special expression of quantum mechanics, we originally propose a concept of Probability … …American Journal of Applied Sciences, Vol. 3, Issue 10 · 31 Oct 2006 · 6,869 accessesView PDFCite