Symmetries, parametrization, and group structure of transfer matrices in quantum scattering theory

DOI10.1063/1.531112zbMath0827.58075OpenAlexW2069948293MaRDI QIDQ4836810

Pedro Pereyra Padilla

Publication date: 21 June 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531112

zbMATH Keywords

symmetrytransfer matrixparametrizationgroup structurequantum scattering theory

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (5)

Wave function confinement via transfer matrix methods ⋮ Unitarity and symmetries of the multicomponent scattering matrix ⋮ Geometry of the Saxon-Hutner theorem. ⋮ Theory of finite periodic systems: the eigenfunctions symmetries ⋮ Sylvester theorem and the multichannel transfer matrix method for arbitrary transverse potential profile inside a wave guide

Cites Work

• Irreducible unitary representations of the Lorentz group
• Electron Levels in a One-Dimensional Random Lattice
• Disordered One-Dimensional Crystals
• The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
• Energy Bands and Wave Functions in Periodic Potentials
• On the Theory of Automorphic Functions of a Matrix Variable I-Geometrical Basis

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