Radiation boundary conditions for the numerical solution of the three-dimensional time-dependent Schrödinger equation with a localized interaction

Physical Review E ◽

10.1103/physreve.79.056709 ◽

2009 ◽

Vol 79 (5) ◽

Author(s):

M. Heinen ◽

H.-J. Kull

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Numerical Solution ◽

Schrodinger Equation ◽

Three Dimensional ◽

Time Dependent ◽

Radiation Boundary Conditions ◽

Radiation Boundary

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Numerical solution of three-dimensional time-dependent Schrödinger equation based on graphic processing unit acceleration

Acta Physica Sinica ◽

10.7498/aps.69.20200700 ◽

2020 ◽

Vol 69 (23) ◽

pp. 234202

Author(s):

Fu-Ming Tang ◽

Kai Liu ◽

Yi Yang ◽

Qian Tu ◽

Feng Wang ◽

...

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Graphic Processing Unit ◽

Three Dimensional ◽

Time Dependent ◽

Processing Unit ◽

Graphic Processing

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Numerical Solution of the Time-Dependent Schrödinger Equation and Application toH+-H

Physical Review Letters ◽

10.1103/physrevlett.43.512 ◽

1979 ◽

Vol 43 (7) ◽

pp. 512-515 ◽

Author(s):

Vida Maruhn-Rezwani ◽

Norbert Grün ◽

Werner Scheid

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

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Numerical implementation of absorbing and injecting boundary conditions for the time-dependent Schrödinger equation

Physical Review B ◽

10.1103/physrevb.51.2082 ◽

1995 ◽

Vol 51 (4) ◽

pp. 2082-2086 ◽

Author(s):

M. Cemal Yalabik ◽

M. İhsan Ecemiş

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Time Dependent ◽

Numerical Implementation

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Radiation boundary conditions for time-dependent waves based on complete plane wave expansions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.08.050 ◽

2010 ◽

Vol 234 (6) ◽

pp. 1988-1995 ◽

Author(s):

Thomas Hagstrom ◽

Timothy Warburton ◽

Dan Givoli

Keyword(s):

Boundary Conditions ◽

Time Dependent ◽

Radiation Boundary Conditions ◽

Radiation Boundary

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A three-dimensional time-dependent Schrödinger equation solver: an application to hydrogen atoms in an elliptical laser field

Journal of Physics B Atomic Molecular and Optical Physics ◽

10.1088/1361-6455/aa77a0 ◽

2017 ◽

Vol 50 (14) ◽

pp. 144004 ◽

Author(s):

Xiao-Min Tong

Keyword(s):

Schrödinger Equation ◽

Laser Field ◽

Schrodinger Equation ◽

Three Dimensional ◽

Time Dependent ◽

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Existence of weak solutions to the time-dependent MHD equations coupled to the heat equation with nonlocal radiation boundary conditions

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2008.09.015 ◽

2009 ◽

Vol 10 (5) ◽

pp. 2914-2936 ◽

Author(s):

Pierre-Étienne Druet

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Weak Solutions ◽

Mhd Equations ◽

Time Dependent ◽

Existence Of Weak Solutions ◽

Radiation Boundary Conditions ◽

Radiation Boundary

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Splitting in Potential Finite-Difference Schemes with Discrete Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications - ENUMATH 2013 ◽

10.1007/978-3-319-10705-9_20 ◽

2014 ◽

pp. 203-211 ◽

Author(s):

Alexander Zlotnik ◽

Bernard Ducomet ◽

Ilya Zlotnik ◽

Alla Romanova

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Difference Schemes ◽

Time Dependent ◽

Finite Difference Schemes ◽

Transparent Boundary Conditions

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Approximation and Fast Calculation of Non-local Boundary Conditions for the Time-dependent Schrödinger Equation

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering ◽

10.1007/3-540-26825-1_10 ◽

2005 ◽

pp. 141-148 ◽

Author(s):

Anton Arnold ◽

Matthias Ehrhardt ◽

Ivan Sofronov

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Time Dependent ◽

Fast Calculation ◽

Local Boundary ◽

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Stability of a symmetric finite-difference scheme with approximate transparent boundary conditions for the time-dependent Schrödinger equation

Doklady Mathematics ◽

10.1134/s1064562407020214 ◽

2007 ◽

Vol 75 (2) ◽

pp. 260-265

Author(s):

A. A. Zlotnik ◽

B. Ducomet

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Time Dependent ◽

Transparent Boundary Conditions

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A SPACE-TIME FINITE ELEMENT METHOD FOR THE EXTERIOR STRUCTURAL ACOUSTICS PROBLEM: TIME-DEPENDENT RADIATION BOUNDARY CONDITIONS IN TWO SPACE DIMENSIONS

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19960530)39:10<1635::aid-nme922>3.0.co;2-t ◽

1996 ◽

Vol 39 (10) ◽

pp. 1635-1657 ◽

Author(s):

L. L. THOMPSON ◽

P. M. PINSKY

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Conditions ◽

Time Dependent ◽

Structural Acoustics ◽

Radiation Boundary Conditions ◽

Two Space Dimensions ◽

Radiation Boundary ◽

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