Path Integral Quantization (eBook, ePUB)
PAYBACK Punkte
41 °P sammeln!
This book is an essential introduction to the techniques and applications of path integral quantization and functional techniques. Its intended audience is both students and practitioners who desire a basic and concise introductory overview of path integral and functional methods. The first half of the text focusses on quantum mechanics. It begins with a review of the action formulation of classical mechanics and quantum mechanics in the Dirac operator and state formalism, along with relevant mathematics. The path integral representation of quantum mechanically important mathematical quantitie...
This book is an essential introduction to the techniques and applications of path integral quantization and functional techniques. Its intended audience is both students and practitioners who desire a basic and concise introductory overview of path integral and functional methods. The first half of the text focusses on quantum mechanics. It begins with a review of the action formulation of classical mechanics and quantum mechanics in the Dirac operator and state formalism, along with relevant mathematics. The path integral representation of quantum mechanically important mathematical quantities is then derived from standard quantum mechanics for a variety of physical systems employing both bosonic and Grassmann variables, demonstrating the relationship of the path integral to standard quantum mechanics and operator methods. The path integral is then evaluated by a variety of techniques for quantum mechanical transition amplitudes and fixed energy wave functions and tunnelling. The book derives the WKB approximation and the role of classical solutions to the equation of motion. It evaluates the partition function, the application of canonical transformations, and transition elements in the presence of constraints. The second half of the text focusses on relativistic field theories. After reviewing special relativity, the book derives the path integral representation of the vacuum transition element for quantized scalar, spinor, and vector fields from the coherent state representation of the respective field theories. In particular, the text analyses the role of constraints in gauge field theory. The path integral functional method for perturbation theory is developed. Symmetry relations as well as the quantization of nonabelian gauge theories are presented using path integral methods. Nonperturbative methods for lower dimensional Yang-Mills theory are presented, as well as deriving the Dirac quantization condition and the role of classical solutions to the equations of motion in the field theory path integral.
Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, D ausgeliefert werden.
Andere Kunden interessierten sich für
