This text takes advantage of recent developments in the theory of path integration to provide an improved treatment of quantization of systems that either have no constraints or instead involve constraints with demonstratively improved procedures. The modern treatment used by the author is an attempt to make amajor paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. Functional Integration: A Modern Treatment offers insight into a number of contemporary research topics, which may lead to improved methodsand results that cannot be found elsewhere in the textbook literature. Exercises are included in each chapter, making the book suitable for a one-semester graduate course on functional integration; prerequisites consist mostly of some basic knowledge of quantum mechanics." Takes advantage of recent developments in the theory of path integration to provide an improved treatment of quantization of systems Modern treatment used by the author is an attempt to make a major paradigm shift in how the art of functional integration is practiced Strong emphasis is placed on the coherent state form of the path integral, briefly mentioned in the textbook literature Techniques developed will prove valuable to a broad audience of graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics Offers insight into a numberof contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature Exercises are included in each chapter, making the book suitable for a one-semester graduate course on functional integration INDICE: Preface.- Introduction.- Probability.- Infinite-Dimensional Integrals.- Functional Techniques.- Stochastic Variable Theory.- Quantum Mechanical Path Integrals.- Application to Quantum Field Theory.- Some Soluble Models: Integration Without Integration.- Summary and Outlook.- Index
- ISBN: 978-0-8176-4790-2
- Editorial: Birkhaüser
- Encuadernacion: Rústica
- Páginas: 224
- Fecha Publicación: 01/07/2010
- Nº Volúmenes: 1
- Idioma: Inglés