Gauge mechanics / L. Mangiarotti, G. Sardanashvily.

By:

Mangiarotti, L

Contributor(s):

Sardanashvili, G. A. (Gennadiĭ Aleksandrovich)

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9789812815958
9812815953

Subject(s): Genre/Form:

Electronic books.

Additional physical formats: Print version:: Gauge mechanics.DDC classification:

530.1435 22

LOC classification:

QC793.3.F5 M36 1998eb

Online resources:

Click here to access online

Contents:

1. Interlude: bundles, jets, connections -- 2. Geometry of Poisson manifolds -- 3. Hamiltonian systems -- 4. Lagrangian time-dependent mechanics -- 5. Hamiltonian time-dependent mechanics -- 6. Relativistic mechanics.

Summary: This book presents in a unified way modern geometric methods in analytical mechanics based on the application of fibre bundles, jet manifold formalism and the related concept of connection. Non-relativistic mechanics is seen as a particular field theory over a one-dimensional base. In fact, the concept of connection is the major link throughout the book. In the gauge scheme of mechanics, connections appear as reference frames, dynamic equations, and in Lagrangian and Hamiltonian formalisms. Inertial forces, energy conservation laws and other phenomena related to reference frames are analyzed; that leads us to observable physics. Special topics on relativistic mechanics, geometric BRST mechanics frame-dependent quantization and others, together with many examples, are also dealt with.

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Holdings
Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 332-346) and index.

This book presents in a unified way modern geometric methods in analytical mechanics based on the application of fibre bundles, jet manifold formalism and the related concept of connection. Non-relativistic mechanics is seen as a particular field theory over a one-dimensional base. In fact, the concept of connection is the major link throughout the book. In the gauge scheme of mechanics, connections appear as reference frames, dynamic equations, and in Lagrangian and Hamiltonian formalisms. Inertial forces, energy conservation laws and other phenomena related to reference frames are analyzed; that leads us to observable physics. Special topics on relativistic mechanics, geometric BRST mechanics frame-dependent quantization and others, together with many examples, are also dealt with.

Print version record.

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