Strongly interacting quantum systems.

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"Version: 20230901"--Title page verso.Includes bibliographical references.1. Fundamentals of quantum mechanics and scattering theory -- 1.1. Quantum mechanics -- 1.2. Non-relativistic scattering theory2. Modern scattering theory -- 2.1. Elastic scattering from finite size effects -- 2.2. Bound states -- 2.3. Resonances3. Effective field theory of interactions and renormalization -- 3.1. Low-energy interactions -- 3.2. Perturbative renormalization -- 3.3. Non-perturbative renormalization -- 3.4. Non-renormalisable theories4. Atoms, electrons and photons in structured media -- 4.1. Ultracold atoms -- 4.2. Electrons in solids -- 4.3. Photons in structured media : cavities5. Dimensional reduction of trapped interacting quantum systems -- 5.1. Collision theory in one dimension -- 5.2. Dimensional reduction from three to one dimension6. One- and two-body physics -- 6.1. One-body problems -- 6.2. Two-body problems7. Three-body physics -- 7.1. Faddeev equations -- 7.2. Efimov effect for non-identical particles -- 7.3. Exactly solvable three-body problems -- Appendix A. Useful formulae.This book presents a detailed account of the theory and methods to tackle systems of strongly interacting particles from a bottom-up approach, which has been largely developed in the past decade by the authors and other experts in the field. This begins with a full characterisation of strongly interacting few-particle systems, which can be dealt with accurately using a variety of analytical and numerical techniques. These non-perturbative solutions can be used to gain qualitative and quantitative insight into more complex problems, especially the many-body problem. The book gives a detailed overview of the relevant and current research literature in the field, and is a valuable tool for researchers and graduate students. Part of IOP Series in Quantum Technology.Researchers and PhD students.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Manuel Valiente did his PhD on the physics of few interacting quantum particles in optical lattices, graduating from the Humboldt-Universitaet zu Berlin (Germany) in 2010, with research done as a Marie-Curie Early Stage Researcher at the Institute for Electronic Structure & Laser - FoRTH in Heraklion, Crete. He then moved to Aarhus University as a postdoctoral researcher where he started to work on using few-body concepts to describe non-perturbative effects in the many-body problem. After that, he spent six years at Heriot-Watt University before joining the Faculty at the Institute of Advanced Study, Tsinghua University as an Associate Member. His current research interests revolve around the description of strong interactions and universality in the few- and many-body problems in ultracold atomic and condensed matter physics, including topologically non-trivial systems. After graduate work in theoretical nuclear physics and astrophysics, Dr. Zinner moved into cold atomic gases and condensed matter physics, securing individual grants to be able to pursue his own ideas and venture into new fields with great success. Dr. Zinner has contributed high-quality papers in all fields he has worked in thus far. Early prestigious career grants (The Elite Research Prize grant 2011 and Sapere Aude Starting Grant 2013) enabled Dr. Zinner to build a group early on in his career and strengthen international collaborations to become an independent research group leader and authority in the field of few-body physics, as well as its applications in various platforms related to quantum technology. Later on, Dr. Zinner was the recipient of a three-year fellowship at Aarhus Institute of Advanced Studies (2019-2021), a prestigious interdisciplinary research institute, as well as a Carlsberg Foundation Distinguished Associate Professor (2017-2020), and in 2022 Dr. Zinner received one of the coveted Pathfinder grants from the European Innovation Council. With more than 250 papers, among them three review papers, Dr. Zinner has an impressive publication record across several fields.Title from PDF title page (viewed on October 3, 2023).

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Series Title

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750330879

Classification

530.12

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-

Carrier Type

-

Edition

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Subject(s)

SCIENCE / Physics / Quantum Theory.
Quantum systems.
Few-body problem.

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Statement of Responsibility

Manuel Valiente, Nikolaj Thomas Zinner.

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