Two-body scattering on a graph and application to simple nanoelectronic devices

DOI10.1063/1.531068zbMath0843.35070OpenAlexW1979775628MaRDI QIDQ4873313

B. S. Pavlov, Yu. B. Mel'nikov

Publication date: 16 April 1996

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

Full work available at URL: https://doi.org/10.1063/1.531068

zbMATH Keywords

Schrödinger equationwave functionscattering channel

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Technical applications of optics and electromagnetic theory (78A55) (2)-body potential quantum scattering theory (81U05)

Related Items (14)

Quantum graphs as holonomic constraints ⋮ Recovering the shape of a quantum graph ⋮ Scattering properties of two singularly interacting particles on the half-line ⋮ Modern results in the spectral analysis for a class of integral-difference operators and application to physical processes ⋮ Inverse problem for integral-difference operators on graphs ⋮ SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS ⋮ Exactly solvable interacting two-particle quantum graphs ⋮ An inverse spectral problem for the Sturm-Liouville operator on a three-star graph ⋮ Many-Particle Quantum Graphs: A Review ⋮ Spectral surgery for the Schrödinger operator on graphs ⋮ Spectral surgery technology for quantum graphs ⋮ Two interacting particles on the half-line ⋮ An inverse problem for quantum trees with observations at interior vertices ⋮ Two particles on a star graph. I.

Cites Work

• Scattering problems on noncompact graphs
• Self-adjoint extensions of the Laplace operator with respect to electric and magnetic boundary conditions
• Selfadjoint extensions and scattering theory for several-body systems

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