48,99 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

EXTENDED SYMMETRIC POISSON-BOLTZMANN THEORY ab 48.99 € als Taschenbuch: EXTENSION OF THE SYMMETRIC POISSON-BOLTZMANN EQUATION UPTO A SIX-COMPONENT MIXTURE OF ELECTROLYTES AND NEUTRAL PARTICLES. Aus dem Bereich: Bücher, Wissenschaft, Chemie,

Anbieter: hugendubel

Stand: 29.09.2020 Zum Angebot

Stand: 29.09.2020 Zum Angebot

49,00 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

To study the structural and thermodynamic properties of electrolyte solutions the Symmetric Poisson-Boltzmann theory has been extended up to six components and the resulting coupled equations for the mean electrostatic potentials have been solved numerically using a quasi-linearization iterative procedure. The exclusion volume term approximated by PY hard sphere RDF has been calculated using Perram's method along with Verlet and Weis corrections. The RDFs have been computed for four-component systems comprising a single electrolyte with two other neutral components for various cases. Excellent agreement has been found for each case when compared with MC data. The theory predicts the experimental trends when applied to measure the second virial coefficient in a colloidal system of silicotungstate, in a solution of HCl, LiCl or NaCl. The extended theory and the numerical solution techniques can be utilized to study the structural and thermodynamic properties of multicomponent electrolytes which are of great interest because of their frequent presence in industrial processes and in branches of sciences like colloid and surface science, polymer science, biophysics and chemistry.

Anbieter: Dodax

Stand: 29.09.2020 Zum Angebot

Stand: 29.09.2020 Zum Angebot

39,00 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

High Quality Content by WIKIPEDIA articles! In differential geometry, the Schouten Nijenhuis bracket, also known as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields. There are two different versions, both rather confusingly called by the same name. The most common version is defined on alternating multivector fields and makes them into a Gerstenhaber algebra, but there is also another version defined on symmetric multivector fields, which is more or less the same as the Poisson bracket on the cotangent bundle. It was discovered by Jan Arnoldus Schouten (1940, 1953) and its properties were investigated by his student Albert Nijenhuis (1955). It is related to but not the same as the Nijenhuis Richardson bracket and the Frölicher Nijenhuis bracket.

Anbieter: Dodax

Stand: 29.09.2020 Zum Angebot

Stand: 29.09.2020 Zum Angebot

49,00 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

Double gate MOSFET is widely used for sub-50nm technology of transistor design .They have immunity to short channel effects, reduced leakage current and high scaling potential. The single gate Silicon on-insulator (SOI) devices give improved circuit speed and power consumption .But as the transistor size is reduced the close proximity between source and drain reduces the ability of the gate electrode to control the flow of current and potential distribution in the channel. To reduce SCE we need increase gate to channel coupling with respect to source/drain to channel coupling. This book presents the compact modeling of long channel undoped and doped symmetric double-gate MOSFET. The formulation starts with the solution of Poisson s equation which is then coupled to the Pao-Sah current equation to obtain the analytical drain-current model in terms of carrier concentration. The performance analysis of both the doped and undoped body symmetric DGMOS is done by using the model . Comparison of the two types of DGMOS is also done on the basis their electrical characteristics.

Anbieter: Dodax

Stand: 29.09.2020 Zum Angebot

Stand: 29.09.2020 Zum Angebot

106,99 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

In mathematical physics, the correspondence between quantum and classical mechanics is a central topic, which this book explores in more detail in the particular context of spin systems, that is, SU(2)-symmetric mechanical systems. A detailed presentation of quantum spin-j systems, with emphasis on the SO(3)-invariant decomposition of their operator algebras, is first followed by an introduction to the Poisson algebra of the classical spin system and then by a similarly detailed examination of its SO(3)-invariant decomposition. The book next proceeds with a detailed and systematic study of general quantum-classical symbol correspondences for spin-j systems and their induced twisted products of functions on the 2-sphere. This original systematic presentation culminates with the study of twisted products in the asymptotic limit of high spin numbers. In the context of spin systems it shows how classical mechanics may or may not emerge as an asymptotic limit of quantum mechanics. The book will be a valuable guide for researchers in this field and its self-contained approach also makes it a helpful resource for graduate students in mathematics and physics.

Anbieter: Dodax

Stand: 29.09.2020 Zum Angebot

Stand: 29.09.2020 Zum Angebot

76,90 CHF *

ggf. zzgl. Versand

ggf. zzgl. Versand

Equations de Hua et noyau de Poisson.- Homologie des groupes de Lie et dualite de Poincare.- Sur les representations des algebres de lie semi-simples construites par T. Enright.- Harish-chandra homomorphisms and minimal K-types of real semisimple lie groups.- A proof of a conjecture of Kashiware and Vergne.- K-finite joint eigenfunctions of U(g)K on a non-riemannian semisimple symmetric space G/H.- Operateurs d'entrelacement & calcul d'obstruction sur des groupes de Lie resolubles.- Immeubles des groupes lineaires generaux.- Sur les froupes EXTn des representations des groupes de Lie resolubles.- Fourier inversion and the plancherel theorem.- Automorphic forms of low rank.- Kostant's problem and goldie rank.- Character polynomials of discrete series representations.- Some new intertwining operators for semisimple groups.- Extension des representations de groupes unipotents p-adiques Calculs d'obstructions.- Fourier analysis on semisimple symmetric spaces.- Representations de Schr¿dinger Indice de Maslov et groupe metaplectique.- Decomposition de la serie principale des groupes reductifs p-adiques.- Base change and a matching theorem for real groups.- Unitary representations of SL(n,?) and the cohomology of congruence subgroups.- Singular unitary representations.- Remarks on the unitary representations appearing in the Matsushima-Murakami formula.

Anbieter: Orell Fuessli CH

Stand: 29.09.2020 Zum Angebot

Stand: 29.09.2020 Zum Angebot

41,90 CHF *

ggf. zzgl. Versand

ggf. zzgl. Versand

Estimates for solutions of Poisson equations and their applications to submanifolds.- Taut embeddings and Dupin hypersurfaces.- Geometric bounds for the number of certain harmonic mappings.- The first standard minimal immersions of compact irreducible symmetric spaces.- A variational approach to the boundary value problem for hypersurfaces with prescribed mean curvature.- Holonorphic embedding of compact s.p.c. manifolds into complex manifolds as real hypersurfaces.- The stability and the Gauss map of minimal surfaces in ?3.- Compact homogeneous submanifolds with parallel mean curvature.- Sur les ensembles nodaux.- On some stable minimal cones in ?7.- Symmetric submanifolds of compact symmetric spaces.

Anbieter: Orell Fuessli CH

Stand: 29.09.2020 Zum Angebot

Stand: 29.09.2020 Zum Angebot

131,00 CHF *

ggf. zzgl. Versand

ggf. zzgl. Versand

In this book the concept of indistinguishability is defined for identical particles by the symmetry of the state. It applies, therefore, to both the classical and the quantum framework. The author describes symmetric statistical operators and classifies these by means of extreme points. For the description of infinitely extendible interchangeable random variables de Finetti's theorem is derived and generalizations covering the Poisson limit and the central limit are presented. A characterization and interpretation of the integral representations of classical photon states in quantum optics are derived in abelian subalgebras. Unextendible indistinguishable particles are analyzed in the context of nonclassical photon states. The book addresses mathematical physicists and philosophers of science.

Anbieter: Orell Fuessli CH

Stand: 29.09.2020 Zum Angebot

Stand: 29.09.2020 Zum Angebot

79,90 CHF *

ggf. zzgl. Versand

ggf. zzgl. Versand

Anbieter: Orell Fuessli CH

Stand: 29.09.2020 Zum Angebot

Stand: 29.09.2020 Zum Angebot