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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Kamran, Niky
Other Authors: Olver, Peter J.
Format: Electronic eBook
Language:Inglés
Published: Providence : American Mathematical Society, 1994.
Series:Contemporary Mathematics Ser.
Subjects:
Lie algebras.
Homology theory.
Quantum theory.
Algèbres de Lie.
Homologie.
Théorie quantique.
Homology theory
Lie algebras
Quantum theory
Online Access:Texto completo
Table of Contents:
  • 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.
  • 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.

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