Three broader themes cut across these application areas; vibration suppression (or active damping), adaptive structures and machines, and damage detection. This book focuses primarily on the first two areas, with relevant discussion relating to area damage detection being given when appropriate.

The authors discuss the interrelationship between three separate, but related areas; (i) linear vibration theory for multi-degree-of-freedom systems, (ii) nonlinear dynamics and chaos, and (iii) nonlinear control. No other book covers all three areas from a nonlinear vibration perspective and will fill this gap, and as such it will offer a new perspective on these topics, particularly in relation to the three themes identified above.

The volume will be accessible to practitioners in the application areas as well as students and researchers working on related topics. In particular the aim is to introduce the key concepts of nonlinear vibration to readers who have an understanding of linear vibration and/or linear control but no specialist knowledge in nonlinear dynamics or nonlinear control.

See Featured Authors.

Extent: 354pp
ISBN: 978-90-481-2836-5 (print) / (e-book)
Publication date: January 2010

PURCHASE THIS BOOK

Ultracold Quantum Fields provides a self-contained introduction to quantum field theory for many-particle systems, using functional methods throughout. The emphasis is on the behaviour of so-called quantum fluids, namely quantum gases and liquids, where trapped
atomic gases are always used as an example to compare the outcome of theory with experiments. After a detailed derivation of the quantum-field-theoretical description of many-body physics, the appropriate Hartree-Fock theory for the properties of a quantum fluid in the normal phase is formulated. The focus then turns to the properties in the superfluid phase, and the authors present a microscopic derivation of the Bogoliubov theory of Bose-Einstein condensation and the Bardeen-Cooper-Schrieffer theory of superconductivity. The former is applicable to trapped bosonic gases such as rubidium, lithium, sodium and hydrogen, and the latter in particular to the fermionic isotope of atomic lithium. Finally, a few topical subjects in the field of ultracold atoms are discussed for which a field-theoretical approach is especially suited. Examples are the BEC-BCS crossover in a balanced Fermi mixture, strongly-interacting imbalanced Fermi gases, low-dimensional Bose gases, the superfluid to Mott-insulator transition in an optical lattice, and Feshbach resonances.

The book is a greatly extended version of the lecture notes for a required course in the masters programme in Theoretical Physics at Utrecht.

Series: Theoretical and Mathematical Physics

2009, IV, 458 p. 100 illus., Hardcover £63.95
ISBN: 978-1-4020-8762-2

Buy