Connections and effective S-matrix in triangle representation for quantum scattering

DOI10.1016/0003-4916(91)90019-5zbMath0733.58042OpenAlexW2161914511MaRDI QIDQ809450

Yu. A. Kuperin, S. P. Merkur'ev, Pavel Kurasov, Yu. B. Mel'nikov

Publication date: 1991

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

Full work available at URL: http://hdl.handle.net/11701/1679

zbMATH Keywords

connectionsscattering problemsquantum systemS-matrixspectral problemHilbert bundletriangle expansion

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) (S)-matrix theory, etc. in quantum theory (81U20) Applications of PDEs on manifolds (58J90) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (5)

ODPEVP: A program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined Sturm-Liouville problem ⋮ Spectral geometry: Two exactly solvable models ⋮ KANTBP: A program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach ⋮ Total S-matrix and adiabatic amplitudes for the three-body problem ⋮ Quantum mechanics inversion for symmetry scattering

Cites Work

• A topological investigation of the quantum adiabatic phase
• Convergent expansions for tunneling
• Lectures in modern analysis and applications. III
• A unified theory of nuclear reactions. II
• A gauge theory for the quantum planar three-body problem
• Bound states in curved quantum waveguides
• Study of Exactly Soluble One-Dimensional N-Body Problems
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