Multichannel quantum mechanics as a Hamiltonian phase flow
- 1 October 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 50 (4) , 2893-2898
- https://doi.org/10.1103/physreva.50.2893
Abstract
We cast the quantum mechanics of multichannel systems in the broader mathematical framework of Hamiltonian phase space flow. This flow results from symplectic transformations that preserve antisymmetric products, namely, metric relations among alternative solutions with the same dynamics. This viewpoint affords new insight into recent successful phase-amplitude methods.Keywords
This publication has 25 references indexed in Scilit:
- Semianalytic theory of Rydberg electron diamagnetism. IIPhysical Review A, 1993
- General computational method for two-electron systemsPhysical Review A, 1992
- Semianalytic theory of Rydberg electron diamagnetismPhysical Review A, 1992
- Quantum study of electronically non-adiabatic collinear reactions. I. Hyperspherical description of the electronuclear dynamicsChemical Physics, 1986
- Doubly Excited States, Including New Classification SchemesPublished by Elsevier ,1986
- Quantum defect theoryReports on Progress in Physics, 1983
- Hyperspherical description of collinear reactive scatteringJournal of Physics B: Atomic and Molecular Physics, 1982
- Unified treatment of collisionsPhysical Review A, 1981
- Generalized Angular Momentum in Many-Body CollisionsPhysical Review B, 1960
- The Threshold Law for Single Ionization of Atoms or Ions by ElectronsPhysical Review B, 1953