Tamar T. Khachidze & Anzor A. Khelashvili : Dynamical Symmetry of the Kepler-Coulomb Problem in Classical and Quantum Mechanics - Non-relativistic and Relativistic

The purpose of this new and important book is to develop a systematic theory for the hidden symmetry generators, which are simultaneously the odd generators of superalgebra in relativistic quantum mechanics (Dirac's equation). It is devoted to the description of so-called hidden symmetry of the Kepler problem in classical and quantum mechanics (non-relativistic and relativistic). Moreover, the purpose is to elucidate the role of this kind of symmetries in the reduction of physical problems, to show algebraic possibilities of derivation of spectra. Since weathered crust elution -- deposited rare earth ore was discovered, the basic researches on the metallogeny mechanism, the prospecting rule and the production have been studied continuously for more than thirty years. The three leaching technologies of bath leaching with sodium chloride, bath leaching with ammonium sulphate and in-situ leaching with ammonium sulphate are developed sequentially. All of these contribute to the industry of the weathered crust elution-deposited rare earth ore. However, there was no systematic work on the weathered crust elution -- deposited rare earth ore in the past due to many reasons such as the confidentiality, which was not beneficial for the development of this ore. The metallogeny theory and mining technologies of the weathered crust elution -- deposited rare earth ore are introduced systematically in this book for readers.