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.
V.S. Viswanath
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