The One-Dimensional Hubbard Model by Fabian H. L. Essler (PDF)

Description

The description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents, such as ions or electrons. It is impossible to solve the corresponding many-body problems analytically or numerically, although much insight can be gained from the analysis of simplified models. An important example is the Hubbard model, which describes interacting electrons in narrow energy bands, and which has been applied to problems as diverse as high-Tc superconductivity, band magnetism, and the metal-insulator transition. This book presents a coherent, self-contained account of the exact solution of the Hubbard model in one dimension. The early chapters will be accessible to beginning graduate students with a basic knowledge of quantum mechanics and statistical mechanics. The later chapters address more advanced topics, and are intended as a guide for researchers to some of the more topical results in the field of integrable models.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is very well written book on the Hubbard model. I am doing research on quantum control and needed to learn this modeling in a hurry to test my concept. I was able to extract the relevant concepts quickly. If a reader has good training in Quantum Mechanics including second quantization, the book will allow him or her to learn the material quickly

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