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Dynamical symmetry of the Kepler-Coulomb problem in classical and quantum mechanics; non-relativistic and relativistic.

9781604564990

Dynamical symmetry of the Kepler-Coulomb problem in classical and quantum mechanics; non-relativistic and relativistic.

Khachidze, Tamar T. and Anzor A. Khelashvili.

Nova Science Publishers

2008

150 pages

$79.00

Hardcover

QC174

This work summarizes major developments in the problem of hidden or dynamical symmetries of the Kepler problem, in both relativistic and non-relativistic classical and quantum mechanics. The goal of the book is to demonstrate the role of these symmetries in the reduction of physical problems, and to show the algebraic possibilities of the derivation of spectra. While focus is on the Kepler-Coulomb problem, oscillator issues are also considered. The first four chapters contain extended reviews of the main results on dynamical symmetries and corresponding constants of motion in non-relativistic and relativistic classical mechanics and non-relativistic quantum mechanics. The remaining chapters detail the authors' original results in the areas of dynamical symmetries, especially supersymmetry in relativistic quantum mechanics. Khachidze and Khelashvili are affiliated with Ivane Javakhishvili Tbilsi State University.

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Date:Dec 1, 2009
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