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Introduction to Tensor Network Methods
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Introduction to Tensor Network Methods : Numerical simulations of low-dimensional many-body quantum systems

2018 ed.

Book Details

Format Hardback or Cased Book
ISBN-10 3030014088
ISBN-13 9783030014087
Edition 2018 ed.
Publisher Springer Nature Switzerland AG
Imprint Springer Nature Switzerland AG
Country of Manufacture GB
Country of Publication GB
Publication Date Dec 10th, 2018
Print length 172 Pages
Weight 410 grams
Dimensions 16.20 x 24.60 x 1.60 cms
Ksh 25,200.00
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It then presents more advanced numerical methods to tackle the quantum many-body problem: it reviews the numerical renormalization group and then focuses on tensor network methods, from basic concepts to gauge invariant ones.

This volume of lecture notes briefly introduces the basic concepts needed in any computational physics course: software and hardware, programming skills, linear algebra, and differential calculus. It then presents more advanced numerical methods to tackle the quantum many-body problem: it reviews the numerical renormalization group and then focuses on tensor network methods, from basic concepts to gauge invariant ones. Finally, in the last part, the author presents some applications of tensor network methods to equilibrium and out-of-equilibrium correlated quantum matter.

The book can be used for a graduate computational physics course. After successfully completing such a course, a student should be able to write a tensor network program and can begin to explore the physics of many-body quantum systems. The book can also serve as a reference for researchers working or starting out in the field. 


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