Solving the Schrödinger equation using the finite difference time domain method

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/40/8/013 ◽

2007 ◽

Vol 40 (8) ◽

pp. 1885-1896 ◽

Author(s):

I Wayan Sudiarta ◽

D J Wallace Geldart

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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Non-standard finite-difference time-domain method for solving the Schrödinger equation

Pramana ◽

10.1007/s12043-018-1632-z ◽

2018 ◽

Vol 91 (4) ◽

Author(s):

I Wayan Sudiarta

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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Eigenvalue problem of the Schrödinger equation via the finite-difference time-domain method

Physical Review E ◽

10.1103/physreve.69.036705 ◽

2004 ◽

Vol 69 (3) ◽

Author(s):

G. B. Ren ◽

J. M. Rorison

Keyword(s):

Finite Difference ◽

Eigenvalue Problem ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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Numerical solution of the Schrödinger equation in polar coordinates using the finite-difference time-domain method

Journal of Computational Electronics ◽

10.1007/s10825-020-01446-0 ◽

2020 ◽

Vol 19 (1) ◽

pp. 91-102

Author(s):

Mohsen Salehi ◽

Nosrat Granpayeh

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Numerical Solution ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Polar Coordinates ◽

Domain Method ◽

Difference Time

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Solving the Schrödinger equation for a charged particle in a magnetic field using the finite difference time domain method

Physics Letters A ◽

10.1016/j.physleta.2008.01.078 ◽

2008 ◽

Vol 372 (18) ◽

pp. 3145-3148 ◽

Author(s):

I. Wayan Sudiarta ◽

D.J. Wallace Geldart

Keyword(s):

Magnetic Field ◽

Charged Particle ◽

Finite Difference ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113881 ◽

2021 ◽

pp. 113881

Author(s):

Pieter Decleer ◽

Arne Van Londersele ◽

Hendrik Rogier ◽

Dries Vande Ginste

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Domain Method ◽

Alternating Direction ◽

Explicit Finite Difference ◽

Difference Time

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Generalized Finite-Difference Time-Domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU

Computer Physics Communications ◽

10.1016/j.cpc.2018.02.013 ◽

2019 ◽

Vol 235 ◽

pp. 279-292 ◽

Author(s):

Joshua P. Wilson

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Absorbing Boundary Conditions ◽

Time Domain Method ◽

Absorbing Boundary ◽

Domain Method ◽

Difference Time

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A Leapfrog Scheme for Complying-Divergence Implicit Finite-Difference Time-Domain Method

IEEE Antennas and Wireless Propagation Letters ◽

10.1109/lawp.2021.3065520 ◽

2021 ◽

pp. 1-1

Author(s):

Eng Leong Tan

Keyword(s):

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Time Domain Method ◽

Domain Method ◽

Implicit Finite Difference ◽

Leapfrog Scheme ◽

Difference Time

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Characteristics and optimal miter of microstrip bend via the finite difference time domain method

2009 3rd IEEE International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications ◽

10.1109/mape.2009.5355759 ◽

2009 ◽

Author(s):

Jianbo Mao ◽

Mingwu Yang ◽

Huaguo Liang ◽

Jinxian Liu ◽

Meng Zhang

Keyword(s):

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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Prediction of low-frequency structure-borne sound in concrete structures using the finite-difference time-domain method

The Journal of the Acoustical Society of America ◽

10.1121/1.4892784 ◽

2014 ◽

Vol 136 (3) ◽

pp. 1085-1100 ◽

Author(s):

T. Asakura ◽

T. Ishizuka ◽

T. Miyajima ◽

M. Toyoda ◽

S. Sakamoto

Keyword(s):

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Concrete Structures ◽

Low Frequency ◽

Time Domain Method ◽

Frequency Structure ◽

Domain Method ◽

Difference Time

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Analysis of arbitrarily shaped two-dimensional microwave circuits by finite-difference time-domain method

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/22.3579 ◽

1988 ◽

Vol 36 (4) ◽

pp. 738-744 ◽

Author(s):

W.K. Gwarek

Keyword(s):

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Microwave Circuits ◽

Time Domain Method ◽

Two Dimensional ◽

Domain Method ◽

Difference Time

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