The Recursion Method

Application to Many-Body Dynamics

V.S. Viswanath, Gerhard Müller (Autoren)

Buch | Softcover

X, 262 Seiten

2013 | 1. Softcover reprint of the original 1st ed. 1994
Springer Berlin (Verlag)
978-3-662-14512-8 (ISBN)

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In this monograph the recursion method is presented as a method for the analysis of dynamical properties of quantum and classical many-body systems in thermal equilibrium. Such properties are probed by many different experimental techniques used in materials science. Several representations and formulations of the recursion method are described in detail and documented with numerous examples, ranging from elementary illustrations for tutorial purposes to realistic models of interest in current research in the areas of spin dynamics and low-dimensional magnetism. The performance of the recursion method is calibrated by exact results in a number of benchmark tests and compared with the performance of other calculational techniques. The book addresses graduate students and researchers.

In this monograph the recursion method is presented and employed as a method for the analysis of dynamical properties of quantum and classical many-body systems in thermal equilibrium. Several representations and formulations of the recursion method are described in detail ranging from elementary illustrations to realistic models. The book addresses graduate students and researchers.

Linear Response and Equilibrium Dynamics.- Liouvillian Representation.- Hamiltonian Representation.- Genetic Code of Spectral Densities.- Recursion Method Illustrated.- Universality Classes of Dynamical Behavior.- Termination of Continued Fractions: Attempts at Damage Control.- Reconstruction of Spectral Densities from Incomplete Continued Fractions.- Transport of Spin Fluctuations at High Temperature.- Quantum Spin Dynamics at Zero Temperature.

Erscheint lt. Verlag	10.11.2013
Reihe/Serie	Lecture Notes in Physics Monographs
Zusatzinfo	X, 262 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	392 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Condensed matter physics • continued-fraction analysis • dynamic correlation functions • electronic properties • magnetism • many-body dynamics • Materials Science • numerical method • recursion method • Spin dynamics • Statistical Mechanics
ISBN-10	3-662-14512-X / 366214512X
ISBN-13	978-3-662-14512-8 / 9783662145128
Zustand	Neuware