Relations between transfer and scattering matrices in the presence of hyperbolic channels

DOI10.1063/1.3669483zbMath1273.81220arXiv1110.0258OpenAlexW3102886916MaRDI QIDQ2853585

Christian Sadel

Publication date: 16 October 2013

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

Full work available at URL: https://arxiv.org/abs/1110.0258

zbMATH Keywords

polar decompositionLippmann-Schwinger equations

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Inelastic and multichannel quantum scattering (81U35) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (3)

A central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxes ⋮ Absolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the strip ⋮ Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line

Cites Work

• Unnamed Item
• Random Lie group actions on compact manifolds: a perturbative analysis
• From the Anderson model on a strip to the DMPK equation and random matrix theory
• The random phase property and the Lyapunov spectrum for disordered multi-channel systems
• Variational Principles for Scattering Processes. I

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