Mohlo by se vám také líbit

Více informací o knize Supermathematics and its Applications in Statistical Physics

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 165 bodů

Anotace knihy

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.§§

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Applied mathematics

• Plný název: Supermathematics and its Applications in Statistical Physics
• Podnázev: Grassmann Variables and the Method of Supersymmetry
• Autor: Franz Wegner
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 374
• EAN: 9783662491683
• ISBN: 3662491680
• ID: 02862927
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 618 g
• Rozměry: 158 × 235 × 26 mm
• Datum vydání: 26. March 2016

Oblíbené z jiného soudku

---

---

---