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Record Nr. |
UNINA9910820605403321 |
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Autore |
Khachidze Tamar T |
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Titolo |
Dynamical symmetry of the Kepler-Coulomb problem in classical and quantum mechanics [[electronic resource] ] : non-relativistic and relativistic / / Tamar T. Khachidze and Anzor A. Khelashvili |
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Pubbl/distr/stampa |
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New York, : Nova Science Publishers, c2008 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (168 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Symmetry (Physics) |
Mechanics |
Quantum theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [129]-143) and index. |
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Nota di contenuto |
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Intro -- DYNAMICAL SYMMETRY OF THEKEPLER-COULOMB PROBLEM INCLASSICAL AND QUANTUMMECHANICS: NON-RELATIVISTICAND RELATIVISTIC -- CONTENTS -- ABOUT THE AUTHORS -- PREFACE -- INTRODUCTION -- THE GENERAL CONCEPTS OF DYNAMICAL SYMMETRIES -- REFERENCES -- HIDDEN (DYNAMICAL) SYMMETRIES IN CLASSICALMECHANICS -- I.1. CONSTANTS OF MOTION AS GENERATORS OF INFINITESIMALTRANSFORMATIONS -- Remark -- I.2. DERIVATION OF LRL VECTOR -- I.3. APPLICATIONS OF LRL VECTOR IN CLASSICAL PHYSICS -- (I) LRL Vector and the Orbit Equation -- (II). Algebraic Aspects of the Kepler Problem -- I.4. DYNAMICAL SYMMETRY FOR THE ISOTROPICHARMONIC OSCILLATOR -- I.5. POSSIBLE GENERALIZATIONS OF DYNAMICAL SYMMETRIES -- Comments -- I.6. APPLICATION OF THE DYNAMICAL EVOLUTION OF LRLVECTOR IN GENERAL CENTRAL CASE [12] -- Equations of Motion for General Central Forces -- Equations of Motion for Arbitrary Forces -- Summary Comments on Dynamical Symmetries in Classical(Non-Relativistic) Mechanics -- REFERENCES -- HIDDEN SYMMETRY IN CLASSICAL RELATIVISTICMECHANICS -- II.1. AUXILIARY PROBLEM: LRL VECTOR FOR A MODIFIEDKEPLER PROBLEM -- II.2. THE LAPLACE-RUNGE-LENZ VECTOR AND THE LORENTZBOOST -- II.3. POST-NEWTONIAN EXTENSIONS OF THE LRL VECTOR -- II.4. RELATIVISTIC KEPLER PROBLEM -- REFERENCES -- DYNAMICAL |
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