ABSORBING BOUNDARY-CONDITIONS FOR THE FINITE-DIFFERENCE TIME-DOMAIN CALCULATION OF THE ONE-DIMENSIONAL SCHRODINGER-EQUATION

被引：52

作者：

SHIBATA, T

机构：

[1] NTT LSI Laboratories, Atsugi 243-01

来源：

PHYSICAL REVIEW B | 1991年 / 43卷 / 08期

关键词：

D O I：

10.1103/PhysRevB.43.6760

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The absorbing boundary conditions for the finite-difference calculation of the time-dependent one-dimensional Schrodinger equation are presented. These are the local boundary conditions that approximate the one-way wave equation of a wave function. The conditions minimize undesirable reflections at the artifical boundaries of the area of computation, thus enabling us to limit the computation area efficiently. The calculations of the transmission coefficient of multibarrier tunneling show the validity of the method.

引用

页码：6760 / 6763

页数：4

共 50 条

[41] Vorticity and entropy boundary conditions for acoustical finite-difference time-domain simulations
Botteldooren, D
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1997, 102 (01): : 170 - 178
[42] Vorticity and entropy boundary conditions for acoustical finite-difference time-domain simulations
J Acoust Soc Am, 1 (170):
[43] Adaptive absorbing boundary conditions in finite-difference time domain applications for EMC simulations
Ramahi, OM
Archambeault, B
IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, 1995, 37 (04) : 580 - 583
[44] Inflow boundary conditions for the time dependent one-dimensional Schrodinger equation
Ben Abdallah, N
Degond, P
Gamba, I
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 331 (12): : 1023 - 1028
[45] Numerical dispersion improved three-dimensional locally one-dimensional finite-difference time-domain method
Liang, F.
Wang, G.
Lin, H.
Wang, B-Z.
IET MICROWAVES ANTENNAS & PROPAGATION, 2011, 5 (10) : 1256 - 1263
[46] Absorbing boundary conditions for one-dimensional nonlinear Schrodinger equations
Szeftel, Jeremie
NUMERISCHE MATHEMATIK, 2006, 104 (01) : 103 - 127
[47] A Novel Absorbing Boundary Condition for the Frequency-Dependent Finite-Difference Time-Domain Method
WANG Tong
Journal of Shanghai University, 2001, (02) : 111 - 115
[48] EFFICIENT TIME PROPAGATION FOR FINITE-DIFFERENCE REPRESENTATIONS OF THE TIME-DEPENDENT SCHRODINGER-EQUATION
CERJAN, C
KULANDER, KC
COMPUTER PHYSICS COMMUNICATIONS, 1991, 63 (1-3) : 529 - 537
[49] Numerical solution of the Schrodinger equation in polar coordinates using the finite-difference time-domain method
Salehi, Mohsen
Granpayeh, Nosrat
JOURNAL OF COMPUTATIONAL ELECTRONICS, 2020, 19 (01) : 91 - 102
[50] Pentadiagonal alternating-direction-implicit finite-difference time-domain method for two-dimensional Schrodinger equation
Tay, Wei Choon
Tan, Eng Leong
COMPUTER PHYSICS COMMUNICATIONS, 2014, 185 (07) : 1886 - 1892

← 1 2 3 4 5 →