An investigation of (nonadditive) scattering invariants in classical mechanics and quantum theory by differential topological methods

DOI10.1063/1.527442zbMath0639.70006OpenAlexW2065896404MaRDI QIDQ3780529

Manfred Requardt

Publication date: 1987

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

Full work available at URL: https://authors.library.caltech.edu/12025/

zbMATH Keywords

quantum theoryintegrals of motionscattering transformationdifferential topological methodsstructure of invariants

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Quantum scattering theory (81U99) Differential invariants (local theory), geometric objects (53A55)

Related Items (2)

Summational invariants in systems of mass points and rigid bodies ⋮ Summational invariants

Cites Work

• Summational invariants in the mechanics of mass points
• All Possible Symmetries of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix
• On the kinetic theory of rarefied gases

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