Supermathematics and its Applications in Statistical Physics

Name: Supermathematics and its Applications in Statistical Physics
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783662491683
Price: 69.95 EUR
Availability: InStock

Grassmann Variables and the Method of Supersymmetry

Autor: Franz Wegner

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnosť: Skladom u dodávateľa

Odosielame za 5-8 dní

69.95 €

This text presents the mathematical concepts of Grassmann§variables and the method of supersymmetry...

Informácie o knihe

Autor

Franz Wegner

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2016

Stránok

374

EAN

9783662491683

ISBN

3662491680

Enbook ID

02862927

Vydavateľ

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnosť

618

Rozmery

235 x 158 x 26

Kompletný popis

This text presents the mathematical concepts of Grassmann§variables and the method of supersymmetry to a broad audience of physicists§interested in applying these tools to disordered and critical systems, as well§as related topics in statistical physics. Based on many courses and seminars§held by the author, one of the pioneers in this field, the reader is given a§systematic and tutorial introduction to the subject matter.§§The algebra and analysis of Grassmann variables is§presented in part I. The mathematics of these variables is applied to a random§matrix model, path integrals for fermions, dimer models and the Ising model in§two dimensions. Supermathematics - the use of commuting and anticommuting§variables on an equal footing - is the subject of part II. The properties of§supervectors and supermatrices, which contain both commuting and Grassmann§components, are treated in great detail, including the derivation of integral§theorems. In part III, supersymmetric physical models are considered. While§supersymmetry was first introduced in elementary particle physics as exact§symmetry between bosons and fermions, the formal introduction of anticommuting§spacetime components, can be extended to problems of statistical physics, and,§since it connects states with equal energies, has also found its way into§quantum mechanics.§§Several models are considered in the applications, after§which the representation of the random matrix model by the nonlinear§sigma-model, the determination of the density of states and the level§correlation are derived. Eventually, the mobility edge behavior is discussed§and a short account of the ten symmetry classes of disorder, two-dimensional§disordered models, and superbosonization is given.§§

Mohlo by vás zaujímať

Zákazníci, ktorí si kúpili túto knihu, kúpili tiež

Najčastejšie vyhľadávané

Categories

Authors

Publishers

Produkty

Produkty

Najčastejšie vyhľadávané

Categories

Authors

Publishers

Produkty

Produkty

Supermathematics and its Applications in Statistical Physics

Grassmann Variables and the Method of Supersymmetry

Informácie o knihe

Kompletný popis

Mohlo by vás zaujímať

Zákazníci, ktorí si kúpili túto knihu, kúpili tiež