Collisions for the quantum Coulomb Hamiltonian

DOI10.1007/BF02100283zbMath0743.35054MaRDI QIDQ1182198

Christian Gérard, Andreas Knauf

Publication date: 28 June 1992

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

zbMATH Keywords

time dependent Schrödinger equationsemiclassical limitphase space singularitiesCoulomb type singularitiesregularized trajectories

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items

Passage from Quantum to Classical Molecular Dynamics in the Presence of Coulomb Interactions ⋮ The singular Weinstein conjecture ⋮ Analytic structure of many-body Coulombic wave functions ⋮ Wigner measures dynamics in a Coulomb potential ⋮ The \(n\)-centre problem of celestial mechanics for large energies

Cites Work

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• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• Regularization of vector fields by surgery
• Estimations de l'effet tunnel pour le double puits. II : états hautement excités
• Propagation of analytic singularities for second order dirichlet problems
• A Visit to the Newtonian N-Body Problem via Elementary Complex Variables
• Regularization of kepler's problem and the averaging method on a manifold