Extended Lagrange and Hamilton formalism for point mechanics and covariant Hamilton field theory / : Jürgen Struckmeier, Gesellschaft für Schwerionenforschung, Germany, and Walter Greiner, Frankfurt Institute for Advanced Studies, Germany.
| Author/creator | Struckmeier, Jürgen |
| Other author | Greiner, Walter, 1935-2016. |
| Format | Electronic |
| Publication Info | Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd. [2025] |
| Description | xxi, 360 pages : illustrations, some color ; 25 cm |
| Supplemental Content | Full text available from World Scientific eBooks and eTextbooks package |
| Subjects |
| Contents | Conventional Lagrange and Hamilton Formalism for Point Mechanics: -- Conventional Lagrange Formalism -- Conventional Hamilton Formalism -- Canonical Transformation Theory -- Extended Lagrange and Hamilton Formalisms for Point Mechanics: -- Extended Lagrange Formalism -- The Extended Hamiltonian in Point Mechanics -- Theory of Extended Canonical Transformations -- Covariant Hamilton Field Theory under Fixed Spacetime: -- Covariant Canonical Field Equations -- Canonical Transformations in Covariant Hamiltonian Field Theory -- Examples of Hamiltonians in Covariant Field Theory -- Examples of Canonical Transformations in Covariant Hamiltonian Field Theory -- U(1) and SU(N) Gauge Theories in the Hamiltonian Formulation -- Covariant Hamilton Field Theory with Spacetime as a Dynamical Variable: -- General Spacetime Transformation of Systems of Scalar, Vector, and Tensor Fields -- Gauge Theory of Gravity for Real Scalar and Vector Fields -- Applications of the Gauge Theory of Gravity - SU(N) x SO(3,1) x Diff(M) Gauge Theory. |
| Subject | "This book offers an explicitly covariant canonical formalism that is devised in the usual mathematical language of standard textbooks on classical dynamics. It elaborates on important questions: How do we convert the entire canonical formalism of Lagrange and Hamilton that are built upon Newton's concept of an absolute time into a relativistically correct form that is appropriate to our present knowledge? How do we treat the space-time variables in a Hamiltonian Field Theory on equal footing as in the Lagrangian description of field theory without introducing a new mathematical language? How can a closed covariant canonical gauge theory be obtained from it? To answer the last question, the theory of homogenous and inhomogeneous gauge transformations is worked out in this book on the basis of the canonical transformation theory for fields elaborated before. In analogy to the treatment of time in relativistic point mechanics, the canonical formalism in field theory is further extended to a space-time that is no longer fixed but is also treated as a canonical variable. Applied to a generalized theory of gauge transformations, this opens the door to a new approach to general relativity." -- publisher |
| Bibliography note | Includes bibliographical references and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2024937602 |
| ISBN | 9789814578417 (hardback) |
| ISBN | 981457841X (hardback) |
| ISBN | (ebook) |
| ISBN | (mobi) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |