This unique book describes quantum field theory completely within the context
of path integrals. With its utility in a variety of fields in physics,
the subject matter is primarily developed within the context of quantum
mechanics before going into specialized areas.
Adding new material keenly requested by readers, this second
edition is an important expansion of the popular first edition.
Two extra chapters cover path integral quantization of gauge
theories and anomalies, and a new section extends the
supersymmetry chapter, where singular potentials in
supersymmetric systems are described.
Contents:
Path Integrals and Quantum Mechanics
Harmonic Oscillator
Generating Functional
Path Integrals for Fermions
Supersymmetry
Semi-Classical Methods
Path Integral for the Double Well
Path Integral for Relativistic Theories
Effective Action
Invariances and Their Consequences
Gauge Theories
Anomalies
Systems at Finite Temperature
Ising Model
Readership: Researchers and practitioners in high energy,
theoretical and quantum physics.
376pp Pub. date: Jun 2006
ISBN 981-256-847-6
ISBN 981-256-848-4(pbk)
This valuable collection of articles presents the latest methods and results in complex analysis and its applications. The present trends in complex analysis reflected in the book are concentrated in the following research directions: Clifford analysis, complex dynamical systems, complex function spaces, complex numerical analysis, qusiconformal mapping, Riemann surfaces, TeichmEler theory and Klainian groups, several complex variables, and value distribution theory.
Contents:
Complex Boundary Value Problems in a Quarter Plane (H Begehr
& G Harutyunyan)
A Change of Scale Formula for Wiener Integrals of Unbounded
Functions over Wiener Paths in Abstract Wiener Space (K S Chang
et al.)
Qp-Spaces: Generalizations to Bounded Symmetric Domains (M EngliE
Order of Growth of PainlevETranscendents (A Hinkkanen & I
Laine)
A Remark on Holomorphic Sections of Certain Holomorphic Families
of Riemann Surfaces (Y Imayoshi & T Nogi)
a-Asymptotically Conformal Fixed Points and Holomorphic Motions (Y
Jiang)
Uniqueness Theory of Meromorphic Functions in an Angular Domain (W
Lin & S Mori)
On Nevanlinna Type Classes (N Sukantamala & Z Wu)
On Non-Existence of TeichmEler Extremal (G Yao)
The Möbius Invariance of Besov Spaces on the Unit Ball of Cn (K
Zhu)
and other papers
Readership: Researchers and graduates in complex analysis.
348pp Pub. date: Jul 2006
ISBN 981-256-868-9
Guanajuato Mexico, 2005 ISBN 978-4-9465525-0
Monika Budzynska and Tadeusz Kuczumow
Linear strict convexity of the Kobayashi distance in nonreflexive
Banach spaces
Dan Butnariu, Simeon Reich and Alexander J. Zaslavski
Convergence to fixed points of inexact orbits of Bregman-monotone
and of nonexpansive operators in Banach spaces
S. S. Chang, Y. J. Cho, George X. Yuan and Feng Gu
On the approximation problem of common fixed points for a finite
family of asymptotically quasi-nonexpansive mappings
Yunan Cui, Henryk Hudzik, Marek Wisl a and Liang Zhao
Some geometric coefficents in Musielak-Orlicz sequence spaces
equipped with the Luxemburg norm
Tim Dalby and Brailey Sims
Banach lattices and the weak fixed point property
T. Dominguez Benavides and B. Gavira
The $\tau$-fixed point property for multivalued nonexpansive
mappings and its permanence under renorming
Jesus Garcia Falset
Strong convergence theorems for resolvents of accretive operators
Kazimierz Goebel and Giuseppe Marino
A note on minimal displacement and optimal retraction problems
Wiesl awa Kaczor and Justyna Walczuk
Demiclosedness principle and approximate fixed point sequences
for asymptotically nonexpansive in the intermediate sense
mappings
Vyacheslav V. Kalashnikov and Nataliya Kalashnykova
Solution of implicit complementarity problem with a perturbation
algorithm
M. A. Khamsi
Reflexive metric spaces and the fixed point property
Yasunori Kimura
A characterization of strong convergence for a sequence of
resolvents of maximal monotone operators
W. A. Kirk
Nonexpansive retracts and minimal invariant sets
Elisabetta Maluta, Stanis{\l}aw Prus and Jacek Wo\'sko
Fixed point free mappings which satisfy a Darbo type condition
Shahram Saeidi
Mappings of type $(\gamma)$ and a note on some nonlinear ergodic
theorems
Tomasz Szarek
Fixed points for e-chains
Cong Jun Zhang
Existence and four iterative algorithms of approximate solutions
for nonlinear mixed variational inclusions