Infinite-range exterior complex scaling as a perfect absorber in time-dependent problems

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.053845· OSTI ID:21408925

Scrinzi, Armin ^[1]

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1. Ludwig Maximilians University, Theresienstrasse 37, D-80333 Munich (Germany) and Wolfgang Pauli Institute, A-1090 Vienna (Austria)

We introduce infinite range exterior complex scaling (irECS) which provides for complete absorption of outgoing flux in numerical solutions of the time-dependent Schroedinger equation with strong infrared fields. This is demonstrated by computing high harmonic spectra and wave-function overlaps with the exact solution for a one-dimensional model system and by three-dimensional calculations for the H atom and an Ne atom model. We lay out the key ingredients for correct implementation and identify criteria for efficient discretization.

• OSTI ID: 21408925
• Journal Information: Physical Review. A, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevA.81.053845; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ABSORPTION
ATOMS
EXACT SOLUTIONS
IMPLEMENTATION
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
SCHROEDINGER EQUATION
SPECTRA
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL SOLUTIONS
PARTIAL DIFFERENTIAL EQUATIONS
SORPTION
WAVE EQUATIONS