Published March 5, 2008 | Version v1
Journal article Metadata-only

Time-dependent embedding

Creators

  • 1. School of Physics and Astronomy, Cardiff University, Cardiff CF24 3YB (United Kingdom)

Description

A method of solving the time-dependent Schroedinger equation is presented, in which a finite region of space is treated explicitly, with the boundary conditions for matching the wavefunctions to the rest of space replaced by an embedding term added on to the Hamiltonian. This time-dependent embedding term is derived from the Fourier transform of the energy-dependent embedding potential, which embeds the time-independent Schroedinger equation. Results are presented for a one-dimensional model of an atom in a time-varying electric field, the surface excitation of this model atom at a jellium surface in an external electric field, and the surface excitation of a bulk state

Availability note (English)

Available from http://dx.doi.org/10.1088/0953-8984/20/9/095215

Additional details

Identifiers

DOI
10.1088/0953-8984/20/9/095215;
PII
S0953-8984(08)67959-X;

Publishing Information

Journal Title
Journal of Physics. Condensed Matter
Journal Volume
20
Journal Issue
9
Journal Page Range
[13 p.]
ISSN
0953-8984
CODEN
JCOMEL

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40035530
Subject category
S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
ANALYTICAL SOLUTION; ATOMS; BOUNDARY CONDITIONS; ELECTRIC FIELDS; ENERGY DEPENDENCE; EXCITATION; FOURIER TRANSFORMATION; HAMILTONIANS; ONE-DIMENSIONAL CALCULATIONS; SCHROEDINGER EQUATION; SURFACES; TIME DEPENDENCE; WAVE FUNCTIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; ENERGY-LEVEL TRANSITIONS; EQUATIONS; FUNCTIONS; INTEGRAL TRANSFORMATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; TRANSFORMATIONS; WAVE EQUATIONS