Dynamical Groups and Spectrum Generating Algebras

This book contains comprehensive reviews and reprints on dynamical groups, spectrum generating algebras and spectrum supersymmetries, and their applications in atomic and molecular physics, nuclear physics, particle physics, and condensed matter physics. It is an important source for researchers as well as students who are doing courses on Quantum Mechanics and Advanced Quantum Mechanics.Contents: "Reviews: "Dynamical Groups and Spectrum Generating Algebras "(A Bohm & Y...
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This book contains comprehensive reviews and reprints on dynamical groups, spectrum generating algebras and spectrum supersymmetries, and their applications in atomic and molecular physics, nuclear physics, particle physics, and condensed matter physics. It is an important source for researchers as well as students who are doing courses on Quantum Mechanics and Advanced Quantum Mechanics.Contents:
"Reviews: "Dynamical Groups and Spectrum Generating Algebras "(A Bohm & Y Ne'eman)"Dynamical Groups for the Motion of Relativistic Composite Systems "(A O Barut)"Lie Algebraic Methods and Their Applications to Simple Quantum Systems "(B J Adams, J Cizek & J Paldus)"Dynamical Symmetries in Collective Nuclear Structure Physics "(D H Feng & R Gilmore)"The Shell Model Theory of Nuclear Collective States "(D J Rowe)"Spectrum Generating Algebras in Condensed Matter Physics "(J L Birman & A I Solomon)"Spectrum-Generating Superalgebras "(E D'Hoker, V A Kostelecky & L Vinet)""Reprints: "l. The Harbingers of the Spectrum Generating GroupsII. The Invention of the Spectrum Generating GroupIII. Theoretical Questions Concerning Dynamical Groups and Spectrum Generating AlgebrasIV. Applications of Spectrum Generating Groups in Condensed Matter PhysicsV. Dynamical Groups and Supergroups in Nuclear PhysicsVI. Strings and Superstrings for HadronsVII. Relativistic SGG and Extended Relativistic Objects for HadronsVIII. Infinite Component Fields and Strings for GravityIX. Infinite AlgebrasX. Spectrum SupersymmetriesXI. "Mathematical Appendix: "Representation Theoretical Results for SGG