Luca Tagliacozzo's Books

Tensor Network Contractions

Methods and Applications to Quantum Many-Body Systems

By: Shi-Ju Ran,Emanuele Tirrito,Cheng Peng,Xi Chen,Luca Tagliacozzo,Gang Su,Maciej Lewenstein

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Tensor Network Contractions

Methods and Applications to Quantum Many-Body Systems

By: Shi-Ju Ran,Emanuele Tirrito,Cheng Peng,Xi Chen,Luca Tagliacozzo,Gang Su,Maciej Lewenstein

Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access book aims to explain the tensor network contraction approaches in a systematic way, from the basic definitions to the important applications. This book is also useful to those who apply tensor networks in areas beyond physics, such as machine learning and the big-data analysis. Tensor network originates from the numerical renormalization group approach proposed by K. G. Wilson in 1975. Through a rapid development in the last two decades, tensor network has become a powerful numerical tool that can efficiently simulate a wide range of scientific problems, with particular success in quantum many-body physics. Varieties of tensor network algorithms have been proposed for different problems. However, the connections among different algorithms are not well discussed or reviewed. To fill this gap, this book explains the fundamental concepts and basic ideas that connect and/or unify different strategies of the tensor network contraction algorithms. In addition, some of the recent progresses in dealing with tensor decomposition techniques and quantum simulations are also represented in this book to help the readers to better understand tensor network. This open access book is intended for graduated students, but can also be used as a professional book for researchers in the related fields. To understand most of the contents in the book, only basic knowledge of quantum mechanics and linear algebra is required. In order to fully understand some advanced parts, the reader will need to be familiar with notion of condensed matter physics and quantum information, that however are not necessary to understand the main parts of the book. This book is a good source for non-specialists on quantum physics to understand tensor network algorithms and the related mathematics.

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Page Count

160

Publisher

Springer Nature

Published Date

ISBN 10

3030344894

ISBN 13

9783030344894

Giambattista Vico and the New Psychological Science

By: Luca Tateo

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Giambattista Vico and the New Psychological Science

By: Luca Tateo

Giambattista Vico (16681744) was an Italian philosopher, rhetorician, and historian. As one of the great thinkers of the Enlightenment, he exerted tremendous influence on the social sciences. He was the first to stress cultural and linguistic dimensions in the development of both the human mind and social institutions. Although his ideas on the relationship between mind and culture and his epistemology have inspired the work of many scholars in psychology, his sizeable influence has been scarcely acknowledged. The volume is organized in two sections. The first locates Vico in his historical context and in the landscape of contemporary human and social sciences. The second part presents those of Vico's concepts that seem promising for the development of a new way of looking at psychological phenomena. In the book's conclusion, Luca Tateo gathers the ideas of the volume's contributors to suggest future development of the psychological sciences. This book aims to show how Vico's insights can inspire future research in the psychological sciences. It collects multidisciplinary contributions of leading international scholars that draw upon the thought of this original thinker. Collectively, the contributors remind us of the legacy and continuing influence of this inspiring historical figure.

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