On absorbing boundary conditions for quantum transport equations
ESAIM: M2AN, 28 7 (1994) 853-872
Published online: 2017-01-31
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Absorbing boundary conditions for the time-dependent Schrödinger-type equations in R3
Xiaojie Wu and Xiantao LiPhysical Review E 101 (1) (2020)
https://doi.org/10.1103/PhysRevE.101.013304
The Wigner–Poisson-Xα system in Wiener algebra
Bin Li and Han YangComputers & Mathematics with Applications 73 (9) 1987 (2017)
https://doi.org/10.1016/j.camwa.2017.02.037
THE MODIFIED QUANTUM WIGNER SYSTEM IN WEIGHTED -SPACE
BIN LI and HAN YANGBulletin of the Australian Mathematical Society 95 (1) 73 (2017)
https://doi.org/10.1017/S0004972716000666
On the Cauchy problem for Wigner–Poisson–BGK equation in the Wiener algebra
Bin Li and Jieqiong ShenMathematical Methods in the Applied Sciences 39 (4) 686 (2016)
https://doi.org/10.1002/mma.3510
Stationary Wigner Equation with Inflow Boundary Conditions: Will a Symmetric Potential Yield a Symmetric Solution?
Ruo Li, Tiao Lu and Zhangpeng SunSIAM Journal on Applied Mathematics 74 (3) 885 (2014)
https://doi.org/10.1137/130941754
Efficient representation of nonreflecting boundary conditions for the time‐dependent Schrödinger equation in two dimensions
Shidong Jiang and Leslie GreengardCommunications on Pure and Applied Mathematics 61 (2) 261 (2008)
https://doi.org/10.1002/cpa.20200
Mathematical analysis of the two‐band Schrödinger model
Naoufel Ben Abdallah and Jihene Kefi‐FerhaneMathematical Methods in the Applied Sciences 31 (10) 1131 (2008)
https://doi.org/10.1002/mma.961
On the three-dimensional Wigner–Poisson problem with inflow boundary conditions
Chiara ManziniJournal of Mathematical Analysis and Applications 313 (1) 184 (2006)
https://doi.org/10.1016/j.jmaa.2005.05.053
An analysis of the Wigner–Poisson problem with inflow boundary conditions
Chiara Manzini and Luigi BarlettiNonlinear Analysis: Theory, Methods & Applications 60 (1) 77 (2005)
https://doi.org/10.1016/j.na.2004.08.022
Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension
Shidong Jiang and L GreengardComputers & Mathematics with Applications 47 (6-7) 955 (2004)
https://doi.org/10.1016/S0898-1221(04)90079-X
Wigner function modeling of quantum well semiconductor lasers using classical electromagnetic field coupling
Philip Weetman and Marek S. WartakJournal of Applied Physics 93 (12) 9562 (2003)
https://doi.org/10.1063/1.1574180
Advanced modeling of semiconductor lasers based on quantum Boltzmann equations
M. S. Wartak and P. WeetmanMicrowave and Optical Technology Letters 38 (5) 369 (2003)
https://doi.org/10.1002/mop.11063
Un modèle paraxial de propagation de la lumière : problème aux limites pour l'équation d'advection Schrödinger en coordonnées obliques
Marie Doumic, François Golse and Rémi SentisComptes Rendus. Mathématique 336 (1) 23 (2003)
https://doi.org/10.1016/S1631-073X(02)00016-X
A REVIEW ON THE QUANTUM DRIFT DIFFUSION MODEL
René PinnauTransport Theory and Statistical Physics 31 (4-6) 367 (2002)
https://doi.org/10.1081/TT-120015506
MATHEMATICAL CONCEPTS OF OPEN QUANTUM BOUNDARY CONDITIONS
Anton ArnoldTransport Theory and Statistical Physics 30 (4-6) 561 (2001)
https://doi.org/10.1081/TT-100105939
A Comparison of Transparent Boundary Conditions for the Fresnel Equation
David Yevick, Tilmann Friese and Frank SchmidtJournal of Computational Physics 168 (2) 433 (2001)
https://doi.org/10.1006/jcph.2001.6708
A discrete-velocity, stationary Wigner equation
Anton Arnold, Horst Lange and Paul F. ZweifelJournal of Mathematical Physics 41 (11) 7167 (2000)
https://doi.org/10.1063/1.1318732
IWB1 (2000)
https://doi.org/10.1364/IPR.2000.IWB1
Quantum transport theory
Paul F. Zweifel and Bruce ToomireTransport Theory and Statistical Physics 27 (3-4) 347 (1998)
https://doi.org/10.1080/00411459808205630
Solid State Physics
David K. Ferry and Harold L. GrubinSolid State Physics 49 283 (1996)
https://doi.org/10.1016/S0081-1947(08)60300-8
An Operator Splitting Method for the Wigner–Poisson Problem
Anton Arnold and Christian RinghoferSIAM Journal on Numerical Analysis 33 (4) 1622 (1996)
https://doi.org/10.1137/S003614299223882X