Analysis of the finite difference time domain technique to solve the Schrödinger equation for quantum devices

Journal of Applied Physics ◽

10.1063/1.1753661 ◽

2004 ◽

Vol 95 (12) ◽

pp. 8011-8018 ◽

Author(s):

Antonio Soriano ◽

Enrique A. Navarro ◽

Jorge A. Portı́ ◽

Vicente Such

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Quantum Devices ◽

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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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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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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Absorbing boundary conditions for the finite-difference time-domain calculation of the one-dimensional Schrödinger equation

Physical Review B ◽

10.1103/physrevb.43.6760 ◽

1991 ◽

Vol 43 (8) ◽

pp. 6760-6763 ◽

Author(s):

Tsugumichi Shibata

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

One Dimensional ◽

The One ◽

Difference Time

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The Solution of Transient Response for Complex Transmission Line Network by Hybrid Higher Order Finite Difference Time Domain-modified Nodal Analysis Method

JOURNAL OF ELECTRONICS INFORMATION TECHNOLOGY ◽

10.3724/sp.j.1146.2012.00160 ◽

2013 ◽

Vol 34 (12) ◽

pp. 2999-3005

Author(s):

Wei Wang ◽

Yu-jian Qin ◽

Pei-guo Liu ◽

Dong-ming Zhou

Keyword(s):

Finite Difference ◽

Transmission Line ◽

Transient Response ◽

Time Domain ◽

Finite Difference Time Domain ◽

Analysis Method ◽

Modified Nodal Analysis ◽

Line Network ◽

Complex Transmission ◽

Difference Time

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Finite-Difference Time-Domain Calculations Based on Recursive Convolution Approach for Propagation of Electromagnetic Waves in Nonlinear Dispersive Media

10.21236/ada336967 ◽

1997 ◽

Author(s):

S. J. Yakura ◽

Jeff MacGillivray

Keyword(s):

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Electromagnetic Waves ◽

Dispersive Media ◽

Convolution Approach ◽

Difference Time ◽

Recursive Convolution

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