Time-Dependent Lattice Methods for Ion-Atom Collisions in Cartesian and Cylindrical Coordinate Systems

Journal Article · Tue Jan 01 04:00:00 EST 2008 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.77.014701· OSTI ID:939409

Pindzola, Michael S ^[1]; Schultz, David Robert ^[1]

---

1. ORNL

Time-dependent lattice methods in both Cartesian and cylindrical coordinates are applied to calculate excitation cross sections for p+H collisions at 40 keV incident energy. The time-dependent Schroedinger equation is solved using a previously formulated Cartesian coordinate single-channel method on a full 3D lattice and a newly formulated cylindrical coordinate multichannel method on a set of coupled 2D lattices. Cartesian coordinate single-channel and cylindrical coordinate five-channel calculations are found to be in reasonable agreement for excitation cross sections from the 1s ground state to the 2s, 2p, 3s, 3p, and 3d excited states. For extension of the time-dependent lattice method to handle the two electron dynamics found in p+He collisions, the cylindrical coordinate multichannel method appears promising due to the reduced dimensionality of its lattice.

• Research Organization: Oak Ridge National Laboratory (ORNL)
• Sponsoring Organization: SC USDOE - Office of Science (SC)
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 939409
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 1 Vol. 77; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CARTESIAN COORDINATES
CROSS SECTIONS
ELECTRONS
EXCITATION
EXCITED STATES
GROUND STATES
ION-ATOM COLLISIONS
SCHROEDINGER EQUATION