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Lie Algebras, Cohomology, and New Applications to Quantum Mechanics.

This volume is devoted to a range of important new ideas arising in the applications of Lie groups and Lie algebras to Schrödinger operators and associated quantum mechanical systems. In these applications, the group does not appear as a standard symmetry group, but rather as a ""hidden&q...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kamran, Niky
Otros Autores: Olver, Peter J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1994.
Colección:Contemporary Mathematics Ser.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Lie Algebras, Cohomology, and New Applications to Quantum Mechanics. 
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505 0 |a Intro; Contents; Preface; Hidden symmetries of differential equations; Algebraic methods in scattering; Exact solutions to operator differential equations; The algebra of tensor operators for the unitary groups; Lie groups and probability; Coherent tensor operators; Uq(sl(2)) and q-special functions; The group representation matrix in quantum mechanical scattering; Quasi-exact solvability; Quantization and deformation of Lie algebras; Algebraic theory; The time-dependent SchrÃœdinger equation in multidimensional integrable evolution equations. 
505 8 |a Models of q-algebra representations: Matrix elements of Uq(su2)Many-electron correlation problem and Lie algebras; Quasi-exactly-solvable spectral problems and conformal field theory; Lie-algebras and linear operators with invariant subspaces. 
520 |a This volume is devoted to a range of important new ideas arising in the applications of Lie groups and Lie algebras to Schrödinger operators and associated quantum mechanical systems. In these applications, the group does not appear as a standard symmetry group, but rather as a ""hidden"" symmetry group whose representation theory can still be employed to analyze at least part of the spectrum of the operator. In light of the rapid developments in this subject, a Special Session was organized at the AMS meeting at Southwest Missouri State University in March 1992 in order to bring together, per. 
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650 0 |a Lie algebras. 
650 0 |a Homology theory. 
650 0 |a Quantum theory. 
650 6 |a Algèbres de Lie. 
650 6 |a Homologie. 
650 6 |a Théorie quantique. 
650 7 |a Homology theory  |2 fast 
650 7 |a Lie algebras  |2 fast 
650 7 |a Quantum theory  |2 fast 
700 1 |a Olver, Peter J. 
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830 0 |a Contemporary Mathematics Ser. 
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