Description 
1 online resource (xi, 182 pages) : illustrations 
Series 
Lecture notes in physics, 16166361 ; 777 

Lecture notes in physics ; 777. 00758450

Contents 
Introduction  Review of Scattering Theory  Quantum Field Theory and the Spectral Method  Applications in One Space Dimension  Spectral Analysis of Charges  Hedgehog Configurations in d=3+1  Boundary Conditions and Casimir Forces  String Type Configurations  Quantum Corrections to QBalls  References  Index 
Summary 
This concise text introduces techniques from quantum mechanics, especially scattering theory, to compute the effects of an external background on a quantum field in general, and on the properties of the quantum vacuum in particular. This approach can be succesfully used in an increasingly large number of situations, ranging from the study of solitons in field theory and cosmology to the determination of Casimir forces in nanotechnology. The method introduced and applied in this book is shown to give an unambiguous connection to perturbation theory, implementing standard renormalization conditions even for nonperturbative backgrounds. It both gives new theoretical insights, for example illuminating longstanding questions regarding Casimir stresses, and also provides an efficient analytic and numerical tool well suited to practical calculations. Last but not least, it elucidates in a concrete context many of the subtleties of quantum field theory, such as divergences, regularization and renormalization, by connecting them to more familiar results in quantum mechanics. While addressed primarily at young researchers entering the field and nonspecialist researchers with backgrounds in theoretical and mathematical physics, introductory chapters on the theoretical aspects of the method make the book selfcontained and thus suitable for advanced graduate students 
Bibliography 
Includes bibliographical references and index 
Notes 
English 

Print version record 
Subject 
Quantum field theory.


Scattering (Mathematics)


Physique.


Quantum field theory.


Scattering (Mathematics)


Quantenfeldtheorie


Streutheorie

Form 
Electronic book

Author 
Quandt, M. (Markus)


Weigel, H. (Herbert)

ISBN 
9783642001390 

3642001394 
