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Models And Methods For Quantum Condensation And Fluids

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Release : 2023-01-04
Genre : Mathematics
Kind : eBook
Book Rating : 069/5 ( reviews)

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Book Synopsis Models And Methods For Quantum Condensation And Fluids by : Weizhu Bao

Download or read book Models And Methods For Quantum Condensation And Fluids written by Weizhu Bao. This book was released on 2023-01-04. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose-Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.

Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization

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Release : 2007
Genre : Science
Kind : eBook
Book Rating : 502/5 ( reviews)

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Book Synopsis Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization by : Weizhu Bao

Download or read book Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization written by Weizhu Bao. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on ?Nanoscale Material Interfaces: Experiment, Theory and Simulation'' from November 2004 to January 2005. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of four of those self-contained tutorials. The topics covered include dynamics in different models of domain coarsening and coagulation and their mathematical analysis in material sciences; a mathematical and computational study for quantized vortices in the celebrated Ginzburg?Landau models of superconductivity and the mean field Gross?Pitaevskii equations of superfluidity; the nonlinear Schr”dinger equation and applications in Bose?Einstein condensation and plasma physics as well as their efficient and accurate computation; and finally, an introduction to constitutive modeling of macromolecular fluids within the framework of the kinetic theory.This volume serves to inspire graduate students and researchers who will embark upon original research work in these fields.

Dynamics In Models Of Coarsening, Coagulation, Condensation And Quantization

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Release : 2007-06-07
Genre : Mathematics
Kind : eBook
Book Rating : 800/5 ( reviews)

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Book Synopsis Dynamics In Models Of Coarsening, Coagulation, Condensation And Quantization by : Weizhu Bao

Download or read book Dynamics In Models Of Coarsening, Coagulation, Condensation And Quantization written by Weizhu Bao. This book was released on 2007-06-07. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on “Nanoscale Material Interfaces: Experiment, Theory and Simulation'' from November 2004 to January 2005. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of four of those self-contained tutorials. The topics covered include dynamics in different models of domain coarsening and coagulation and their mathematical analysis in material sciences; a mathematical and computational study for quantized vortices in the celebrated Ginzburg-Landau models of superconductivity and the mean field Gross-Pitaevskii equations of superfluidity; the nonlinear Schrödinger equation and applications in Bose-Einstein condensation and plasma physics as well as their efficient and accurate computation; and finally, an introduction to constitutive modeling of macromolecular fluids within the framework of the kinetic theory.This volume serves to inspire graduate students and researchers who will embark upon original research work in these fields.

Quantum Liquids

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Release : 2006-09-28
Genre : Science
Kind : eBook
Book Rating : 214/5 ( reviews)

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Book Synopsis Quantum Liquids by : Anthony James Leggett

Download or read book Quantum Liquids written by Anthony James Leggett. This book was released on 2006-09-28. Available in PDF, EPUB and Kindle. Book excerpt: Starting from first principles, this book introduces the closely related phenomena of Bose condensation and Cooper pairing, in which a very large number of single particles or pairs of particles are forced to behave in exactly the same way, and explores their consequences in condensed matter systems. Eschewing advanced formal methods, the author uses simple concepts and arguments to account for the various qualitatively new phenomena which occur in Bose-condensed and Cooper-paired systems, including but not limited to the spectacular macroscopic phenomena of superconductivity and superfluidity. The physical systems discussed include liquid 4-He, the BEC alkali gases, "classical" superconductors, superfluid 3-He, "exotic" superconductors and the recently stabilized Fermi alkali gases. The book should be accessible to beginning graduate students in physics or advanced undergraduates.

A Primer on Quantum Fluids

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Release : 2016-08-10
Genre : Science
Kind : eBook
Book Rating : 769/5 ( reviews)

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Book Synopsis A Primer on Quantum Fluids by : Carlo F. Barenghi

Download or read book A Primer on Quantum Fluids written by Carlo F. Barenghi. This book was released on 2016-08-10. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this primer is to cover the essential theoretical information, quickly and concisely, in order to enable senior undergraduate and beginning graduate students to tackle projects in topical research areas of quantum fluids, for example, solitons, vortices and collective modes. The selection of the material, both regarding the content and level of presentation, draws on the authors analysis of the success of relevant research projects with newcomers to the field, as well as of the students feedback from many taught and self-study courses on the subject matter. Starting with a brief historical overview, this text covers particle statistics, weakly interacting condensates and their dynamics and finally superfluid helium and quantum turbulence. At the end of each chapter (apart from the first) there are some exercises. Detailed solutions can be made available to instructors upon request to the authors.

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