- Presents tools needed to analyze qualitatively and quantitatively different models
- Bridges the gap between mathematics and physics
- With a focus on boson systems, ideas developed in the book lead to new ways of looking at existing problems; new technologies for solving old problems and new applications for new exact results
This book offers a modern way of dealing with the problems of equilibrium states of Bose systems. Starting with the variation principle of statistical mechanics and the energy-entropy balance principle as equilibrium criteria, results for general boson systems and models are explicitly derived using simple functional analytic calculus.
Bridging the gap between general theoretical physics and the phenomenological research in the field of Bose systems, this book provides an insight into the fascinating quantum world of bosons. Key topics include the occurrence of BEC and its intimate structural relation with the phenomena of spontaneous symmetry breaking and off-diagonal long range order; the condensate equation; the issue concerning the choice of boundary conditions; solvable versus non-solvable boson models; the set of quasi-free boson states; the role of dissipative perturbations; and the surprising but general relation between general quantum fluctuations and boson systems.
Only some knowledge of quantum mechanics and undergraduate algebra and analysis is assumed. This textbook brings students and researchers smoothly from general concepts to vivid applications.
Introduction.- Bose systems.- Equilibrium States.- Bose Einstein Condensation (BEC).- Bose System Dynamics.- Quantum Fluctuations and Bosonization.- Appendix
Many-body Boson Systems: Half a Century Later offers a modern way of dealing with the problems of equilibrium states of Bose systems. Starting with the variation principle of statistical mechanics and the energy-entropy balance principle as equilibrium criteria, results for general boson systems and models are explicitly derived using simple functional analytic calculus.
Bridging the gap between idea´s of general theoretical physics and the phenomenological research in the field of Bose systems, this book provides an insight into the fascinating quantum world of bosons. Key topics include the occurrence of BEC and its intimate structural relation with the phenomena of spontaneous symmetry breaking and off-diagonal long range order; the condensate equation; the issue concerning the choice of boundary conditions; solvable versus non-solvable boson models; the set of quasi-free boson states; the role of dissipative perturbations; and the surprising but general relation between general quantum fluctuations and boson systems.
Only some knowledge of quantum mechanics and undergraduate algebra and analysis is assumed. This textbook brings students and researchers smoothly from general concepts to vivid applications.
From the reviews:
"The book under review aims to make the considerable body of results obtained in rigorous mathematical work by the author and his co-authors on the bosonic many-body problem available to a broader audience of students and researchers in physics and mathematics. ... provides an overview of a general theory of quantum fluctuations and the notion of bosonization, which to my knowledge has not previously appeared in book form ... .” (Bruno Nachtergaele, Mathematical Reviews, Issue 2012 a)
This book offers a modern way of dealing with the problems of equilibrium states of Bose systems. It provides new ways of looking at existing problems, new technologies for solving old problems and new applications for new exact results.
From the reviews:
"The book under review aims to make the considerable body of results obtained in rigorous mathematical work by the author and his co-authors on the bosonic many-body problem available to a broader audience of students and researchers in physics and mathematics. ... provides an overview of a general theory of quantum fluctuations and the notion of bosonization, which to my knowledge has not previously appeared in book form ... ." (Bruno Nachtergaele, Mathematical Reviews, Issue 2012 a)
Inhaltsverzeichnis
Introduction.- Bose systems.- Equilibrium States.- Bose Einstein Condensation (BEC).- Bose System Dynamics.- Quantum Fluctuations and Bosonization.- Appendix
Klappentext
This book offers a modern way of dealing with the problems of equilibrium states of Bose systems. Starting with the variation principle of statistical mechanics and the energy-entropy balance principle as equilibrium criteria, results for general boson systems and models are explicitly derived using simple functional analytic calculus.
Bridging the gap between general theoretical physics and the phenomenological research in the field of Bose systems, this book provides an insight into the fascinating quantum world of bosons. Key topics include the occurrence of BEC and its intimate structural relation with the phenomena of spontaneous symmetry breaking and off-diagonal long range order; the condensate equation; the issue concerning the choice of boundary conditions; solvable versus non-solvable boson models; the set of quasi-free boson states; the role of dissipative perturbations; and the surprising but general relation between general quantum fluctuations and boson systems.
Only some knowledge of quantum mechanics and undergraduate algebra and analysis is assumed. This textbook brings students and researchers smoothly from general concepts to vivid applications.
Presents tools needed to analyze qualitatively and quantitatively different models
Bridges the gap between mathematics and physics
With a focus on boson systems, ideas developed in the book lead to new ways of looking at existing problems; new technologies for solving old problems and new applications for new exact results
Includes supplementary material: sn.pub/extras
