Time variables in propagators and coherent states for the Kepler-Coulomb problem
- 1 February 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 35 (3) , 1412-1414
- https://doi.org/10.1103/physreva.35.1412
Abstract
A ‘‘fictitious’’ time parameter for the two-body Coulomb problem has recently been used to perform the sum over classical paths in the Feynman form of the path integral, as well as to formulate related coherent-state wave functions. It is pointed out that this time variable is actually the eccentric anomaly of the corresponding classical orbit, which has a known significance in terms of the orbit parameters.Keywords
This publication has 24 references indexed in Scilit:
- Coherent states and the Kepler-Coulomb problemPhysical Review A, 1986
- A Coulomb green function from an SO(2,1) coherent state path integralPhysics Letters B, 1984
- Sturmian propagator for the nonrelativistic Coulomb problemPhysical Review A, 1984
- Quantum Mechanics of H‐Atom from Path IntegralsFortschritte der Physik, 1982
- Two-point characteristic function for the Kepler–Coulomb problemJournal of Mathematical Physics, 1975
- Green's function of a multidimensional isotropic harmonic oscillatorTheoretical and Mathematical Physics, 1972
- The green's functions of the Schrödinger equation for the simplest systemsInternational Journal of Quantum Chemistry, 1972
- Coulomb Green's Function in f-Dimensional SpaceJournal of Mathematical Physics, 1970
- Phase-Integral Approximation in Momentum Space and the Bound States of an AtomJournal of Mathematical Physics, 1967
- Perturbation theory of Kepler motion based on spinor regularization.Journal für die reine und angewandte Mathematik (Crelles Journal), 1965