Numerical solution of the time-dependent Schroedinger equation with Coulomb interactions

Journal Article · Thu Jan 01 04:00:00 EST 1981 · Int. J. Quant. Chem., Symp.; (United States)

OSTI ID:6413770

Bottcher, C

We survey a number of problems in atomic physics which reduce to the solution of the time-dependent Schroedinger equation is two or three dimensions. Direct numerical techniques are discussed in two stages, the construction of propagators and discretization in space. Under the latter heading, finite element methods are emphasized.

• Research Organization: Oak Ridge National Lab., TN
• DOE Contract Number: W-7405-ENG-26
• OSTI ID: 6413770
• Journal Information: Int. J. Quant. Chem., Symp.; (United States), Journal Name: Int. J. Quant. Chem., Symp.; (United States) Vol. 15; ISSN IJQSA
• Country of Publication: United States
• Language: English

Related Subjects

640305* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Theory-- (-1987)
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
CATIONS
CHARGED PARTICLES
COLLISIONS
COULOMB FIELD
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ELEMENTS
EQUATIONS
FINITE ELEMENT METHOD
HAMILTONIANS
HARTREE-FOCK METHOD
HYDROGEN
HYDROGEN IONS
HYDROGEN IONS 1 PLUS
ION COLLISIONS
ION-ATOM COLLISIONS
IONIZATION
IONS
MATHEMATICAL OPERATORS
NONMETALS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PROPAGATOR
QUANTUM OPERATORS
SCATTERING
SCHROEDINGER EQUATION
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS