Dynamical symmetry / Carl E. Wulfman.

Format:

Book

Author/Creator:

Wulfman, Carl.

Language:

English

Subjects (All):

Symmetry (Physics).

Hamiltonian systems.

Physical Description:

1 online resource (450 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, N.J. : World Scientific, 2011.

Language Note:

English

Summary:

Whenever systems are governed by continuous chains of causes and effects, their behavior exhibits the consequences of dynamical symmetries, many of them far from obvious. ""Dynamical Symmetry"" introduces the reader to Sophus Lie's discoveries of the connections between differential equations and continuous groups that underlie this observation. It develops and applies the mathematical relations between dynamics and geometry that result. Systematic methods for uncovering dynamical symmetries are described, and put to use. Much material in the book is new and some has only recently appeared in

Contents:

Physical symmetry and geometrical symmetry

On symmetries associated with Hamiltonian dynamics

One-parameter transformation groups

Everywhere : local invariance

Lie transformation groups and Lie algebras

Dynamical symmetry in Hamiltonian mechanics

Symmetries of classical Kepler motion

Dynamical symmetry in Schrödinger quantum mechanics

Spectrum-generating Lie algebras and groups admitted by Schröedinger equations

Dynamical symmetry of regularized hydrogen-like atoms

Uncovering approximate dynamical symmetries : examples from atomic and molecular physics

Rovibronic systems

Dynamical symmetry of Maxwell's equations.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-283-14406-9

9786613144065

981-4291-37-4

OCLC:

740446057