-
1
-
-
0037138007
-
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
-
W. Bao S. Jin P. Markowich On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime J. Comput. Phys. 175 2002 487-524
-
(2002)
J. Comput. Phys.
, vol.175
, pp. 487-524
-
-
Bao, W.1
Jin, S.2
Markowich, P.3
-
2
-
-
1842531889
-
Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semi-classical regimes
-
W. Bao S. Jin P. Markowich Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semi-classical regimes SIAM J. Sci. Comput. 25 1 2003 27-64
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, Issue.1
, pp. 27-64
-
-
Bao, W.1
Jin, S.2
Markowich, P.3
-
3
-
-
4544386352
-
An efficient and stable numerical method for the Maxwell-Dirac system
-
W. Bao X.G. Li An efficient and stable numerical method for the Maxwell-Dirac system J. Comput. Phys. 199 2004 663-687
-
(2004)
J. Comput. Phys.
, vol.199
, pp. 663-687
-
-
Bao, W.1
Li, X.G.2
-
4
-
-
19644367609
-
Efficient and stable numerical methods for the generalized and vector Zakharov System
-
W. Bao F.F. Sun Efficient and stable numerical methods for the generalized and vector Zakharov System SIAM J. Sci. Comput. 26 3 2005 1057-1088
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, Issue.3
, pp. 1057-1088
-
-
Bao, W.1
Sun, F.F.2
-
5
-
-
0041355423
-
Numerical methods for the generalized Zakharov system
-
W. Bao F.F. Sun G.W. Wei Numerical methods for the generalized Zakharov system J. Comput. Phys. 190 1 2003 201-228
-
(2003)
J. Comput. Phys.
, vol.190
, Issue.1
, pp. 201-228
-
-
Bao, W.1
Sun, F.F.2
Wei, G.W.3
-
6
-
-
0032188065
-
(Semi)-nonrelativistic limits of the Dirac equation with time-dependent etectromagnetic fields
-
P. Bechouche N. Mauser F. Poupaud (Semi)-nonrelativistic limits of the Dirac equation with time-dependent etectromagnetic fields Commun. Math. Phys. 197 1998 405-425
-
(1998)
Commun. Math. Phys.
, vol.197
, pp. 405-425
-
-
Bechouche, P.1
Mauser, N.2
Poupaud, F.3
-
7
-
-
1042268208
-
Nonrelativistic limit of Klein-Gordon-Maxwell to Schrödinger-Poisson
-
P. Bechouchc N. Mauser S. Selberg Nonrelativistic limit of Klein-Gordon-M0axwell to Schrödinger-Poisson Am. J. Math. 126 2004 31-64
-
(2004)
Am. J. Math.
, vol.126
, pp. 31-64
-
-
Bechouchc, P.1
Mauser, N.2
Selberg, S.3
-
8
-
-
19744363004
-
On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit
-
Available from:
-
P. Bechouche, N. Mauser, S. Selberg, On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. Available from:
-
-
-
Bechouche, P.1
Mauser, N.2
Selberg, S.3
-
9
-
-
0348098932
-
A semiclassical approach to the Dirac equation
-
J. Bolte S. Keppeler A semiclassical approach to the Dirac equation Ann. Phys. 274 1999 125-162
-
(1999)
Ann. Phys.
, vol.274
, pp. 125-162
-
-
Bolte, J.1
Keppeler, S.2
-
10
-
-
0031506707
-
The Dirac-Maxwell equations with cylindrical symmetry
-
H. Booth C. Radford The Dirac-Maxwell equations with cylindrical symmetry J. Math. Phys. 38 1997 4504-4527
-
(1997)
J. Math. Phys.
, vol.38
, pp. 4504-4527
-
-
Booth, H.1
Radford, C.2
-
11
-
-
0001158606
-
Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension
-
J.M. Chadarn Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension J. Func. Anal. 13 1973 173-184
-
(1973)
J. Func. Anal.
, vol.13
, pp. 173-184
-
-
Chadarn, J.M.1
-
12
-
-
0040767705
-
A class of exact plane wave solutions of the Maxwell-Dirac equations
-
A. Das D. Kay A class of exact plane wave solutions of the Maxwell-Dirac equations J. Math. Phys. 30 1989 2280-2284
-
(1989)
J. Math. Phys.
, vol.30
, pp. 2280-2284
-
-
Das, A.1
Kay, D.2
-
13
-
-
0031488769
-
Dispersive nonlinear geometrical optics
-
P. Donat J. Rauch Dispersive nonlinear geometrical optics J. Math. Phys. 38 1997 1484-1523
-
(1997)
J. Math. Phys.
, vol.38
, pp. 1484-1523
-
-
Donat, P.1
Rauch, J.2
-
14
-
-
23044533554
-
An overview on linear and nonlinear Dirac equations
-
M. Esteban E. Séré An overview on linear and nonlinear Dirac equations Discrete Contin. Dyn. Syst. 8 1 2002 381-397
-
(2002)
Discrete Contin. Dyn. Syst.
, vol.8
, Issue.1
, pp. 381-397
-
-
Esteban, M.1
Séré, E.2
-
15
-
-
0142053658
-
Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equation
-
M. Flato J.C.H. Simon E. Tafflin Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equation Mem. AMS 127 1997
-
(1997)
Mem. AMS
, Issue.127
-
-
Flato, M.1
Simon, J.C.H.2
Tafflin, E.3
-
16
-
-
84981754205
-
The Cauchy problem for the coupled Maxwell and Dirac equations
-
L. Gross The Cauchy problem for the coupled Maxwell and Dirac equations Commun. Pure Appl. Math. 19 1966 1-15
-
(1966)
Commun. Pure Appl. Math.
, vol.19
, pp. 1-15
-
-
Gross, L.1
-
17
-
-
0000997075
-
Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and a relaxation scheme
-
S. Jin Z. Xin Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and a relaxation scheme SIAM J. Numer. Anal. 35 1998 2385-2404
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2385-2404
-
-
Jin, S.1
Xin, Z.2
-
18
-
-
13844262830
-
Numerical simulation of a generalized Zakharov system
-
S. Jin P. Markowich C. Zheng Numerical simulation of a generalized Zakharov system J. Comput. Phys. 201 2004 376-395
-
(2004)
J. Comput. Phys.
, vol.201
, pp. 376-395
-
-
Jin, S.1
Markowich, P.2
Zheng, C.3
-
19
-
-
0035664744
-
The self-consistent Pauli equation
-
M. Masmoudi N. Mauser The self-consistent Pauli equation Monatsh. Math. 132 6 2001 759-763
-
(2001)
Monatsh. Math.
, vol.132
, Issue.6
, pp. 759-763
-
-
Masmoudi, M.1
Mauser, N.2
-
20
-
-
85012912563
-
The nonrelativistic limit of the nolinear Dirac equation
-
B. Najman The nonrelativistic limit of the nolinear Dirac equation Ann. Inst. H. Poincare, Anal. Non Lineaire 9 1992 3-12
-
(1992)
Ann. Inst. H. Poincare, Anal. Non Lineaire
, vol.9
, pp. 3-12
-
-
Najman, B.1
-
23
-
-
0142136718
-
Semiclassical asymptotics for the Maxwell-Dirac system
-
C. Sparber P. Markowich Semiclassical asymptotics for the Maxwell-Dirac system J. Math. Phys. 44 10 2003 4555-4572
-
(2003)
J. Math. Phys.
, vol.44
, Issue.10
, pp. 4555-4572
-
-
Sparber, C.1
Markowich, P.2
-
24
-
-
85190311171
-
Erratum: Semiclassical asymptotics for the Maxwell-Dirac system
-
C. Sparber P. Markowich Erratum: Semiclassical asymptotics for the Maxwell-Dirac system J. Math. Phys. 45 12 2004 5101
-
(2004)
J. Math. Phys.
, vol.45
, Issue.12
, pp. 5101
-
-
Sparber, C.1
Markowich, P.2
-
25
-
-
0347112450
-
Semiclassical limit of the Dirac equation and spin precession
-
H. Spohn Semiclassical limit of the Dirac equation and spin precession Ann. Phys. 282 2 2000 420-431
-
(2000)
Ann. Phys.
, vol.282
, Issue.2
, pp. 420-431
-
-
Spohn, H.1
-
26
-
-
2942630584
-
Adiabatic perturbation theory in quantum dynamics
-
Berlin: Springer
-
S. Teufel Adiabatic perturbation theory in quantum dynamics Lecture Notes in Mathematics vol. 1821 2003 Springer Berlin
-
(2003)
Lecture Notes in Mathematics
, vol.1821
-
-
Teufel, S.1
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