1.

Record Nr.

UNINA9910822797003321

Autore

Rothe Heinz J

Titolo

Classical and quantum dynamics of constrained Hamiltonian systems / / Heinz J Rothe, Klaus D Rothe

Pubbl/distr/stampa

New Jersey, : World Scientific, 2010

ISBN

1-282-76361-X

9786612763618

981-4299-65-0

Edizione

[1st ed.]

Descrizione fisica

1 online resource (316 p.)

Collana

World scientific lecture notes in physics, , 1793-1436 ; ; v. 81

Altri autori (Persone)

RotheKlaus D (Klaus Dieter)

Disciplina

530.12

Soggetti

Quantum theory

Hamiltonian systems

Constraints (Physics)

Gauge fields (Physics)

Mathematical physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. [291]-299) and index.

Nota di contenuto

Preface; Notation; Contents; 1 Introduction; 2 Singular Lagrangians and Local Symmetries; 3 Hamiltonian Approach. The Dirac Formalism; 4 Symplectic Approach to Constrained Systems; 5 Local Symmetries within the Dirac Formalism; 6 The Dirac Conjecture; 7 BFT Embedding of Second Class Systems; 8 Hamilton-Jacobi Theory of Constrained Systems; 9 Operator Quantization of Second Class Systems; 10 Functional Quantization of Second Class Systems; 11 Dynamical Gauges. BFV Functional Quantization; 12 Field-Antifield Quantization; A Local Symmetries and Singular Lagrangians

B The BRST Charge of Rank OneC BRST Hamiltonian of Rank One; D The FV Principal Theorem; E BRST Quantization of SU(3) Yang-Mills Theory in -gauges; Bibliography; Index

Sommario/riassunto

This book is an introduction to the field of constrained Hamiltonian systems and their quantization, a topic which is of central interest to theoretical physicists who wish to obtain a deeper understanding of the quantization of gauge theories, such as describing the fundamental interactions in nature. Beginning with the early work of Dirac, the book



covers the main developments in the field up to more recent topics, such as the field-antifield formalism of Batalin and Vilkovisky, including a short discussion of how gauge anomalies may be incorporated into this formalism. The book is comprehen