-
1
-
-
0348098932
-
A semiclassical approach to the Dirac equation
-
Bolte, J. and Keppeler, S., "A semiclassical approach to the Dirac equation," Ann. Phys. (N.Y.) 274, 125-162 (1999).
-
(1999)
Ann. Phys. (N.Y.)
, vol.274
, pp. 125-162
-
-
Bolte, J.1
Keppeler, S.2
-
2
-
-
0031506707
-
The Dirac - Maxwell equations with cylindrical symmetry
-
Booth, H. and Radford, C., "The Dirac - Maxwell equations with cylindrical symmetry," J. Math. Phys. 38, 4504-4527 (1997).
-
(1997)
J. Math. Phys.
, vol.38
, pp. 4504-4527
-
-
Booth, H.1
Radford, C.2
-
3
-
-
19744363004
-
-
preprint math.ap/0303079
-
Bechouche, P., Mauser, N., and Selberg, S., "On the asymptotic analysis of the Dirac - Maxwell system in the nonrelativistic limit," preprint math.ap/0303079, available at: http://xxx.lanl.gov.
-
On the Asymptotic Analysis of the Dirac - Maxwell System in the Nonrelativistic Limit
-
-
Bechouche, P.1
Mauser, N.2
Selberg, S.3
-
4
-
-
0001158606
-
Global solutions of the Cauchy problem for the (classical) coupled Maxwell - Dirac equations in one space dimension
-
Chadam, J. M., "Global solutions of the Cauchy problem for the (classical) coupled Maxwell - Dirac equations in one space dimension," J. Funct. Anal. 13, 173-184 (1973).
-
(1973)
J. Funct. Anal.
, vol.13
, pp. 173-184
-
-
Chadam, J.M.1
-
5
-
-
0016928469
-
On the Maxwell - Dirac equations with zero magnetic field and their solution in two space dimensions
-
Chadam, J. M., and Glassey, R. T., "On the Maxwell - Dirac equations with zero magnetic field and their solution in two space dimensions," J. Math. Anal. Appl. 53, 495-507 (1976).
-
(1976)
J. Math. Anal. Appl.
, vol.53
, pp. 495-507
-
-
Chadam, J.M.1
Glassey, R.T.2
-
6
-
-
0031488769
-
Dispersive nonlinear geometrical optics
-
Donat, P., and Rauch, J., "Dispersive nonlinear geometrical optics," J. Math. Phys. 38, 1484-1523 (1997).
-
(1997)
J. Math. Phys.
, vol.38
, pp. 1484-1523
-
-
Donat, P.1
Rauch, J.2
-
7
-
-
3042986444
-
Stationary solutions of the Maxwell - Dirac and Klein - Gordon - Dirac equations
-
Esteban, M., Georgiev, V., and Séré, E., "Stationary solutions of the Maxwell - Dirac and Klein - Gordon - Dirac equations," Calc. Var. 4, 265-281 (1996).
-
(1996)
Calc. Var.
, vol.4
, pp. 265-281
-
-
Esteban, M.1
Georgiev, V.2
Séré, E.3
-
8
-
-
23044533554
-
An overview on linear and nonlinear Dirac equations
-
Esteban, M. and Séré, E., "An overview on linear and nonlinear Dirac equations," Discrete Contin. Dyn. Syst. 8, 381-397 (2002),
-
(2002)
Discrete Contin. Dyn. Syst.
, vol.8
, pp. 381-397
-
-
Esteban, M.1
Séré, E.2
-
9
-
-
0142021597
-
Semi-classical analysis of a Dirac equation without adiabatic decoupling
-
preprint
-
Fermanian-Kammerer, C. "Semi-classical analysis of a Dirac equation without adiabatic decoupling," preprint, to appear in Monatsh. f. Math. (2003).
-
(2003)
Monatsh. F. Math.
-
-
Fermanian-Kammerer, C.1
-
10
-
-
0031139067
-
Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equation
-
Flato, M., Simon, J. C. H., and E. Tafflin, "Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equation," Memoirs of the AMS No. 127 (1997).
-
(1997)
Memoirs of the AMS No. 127
, vol.127
-
-
Flato, M.1
Simon, J.C.H.2
Tafflin, E.3
-
11
-
-
0000961106
-
Small amplitude solutions of the Maxwell - Dirac equations
-
Georgiev, V., "Small amplitude solutions of the Maxwell - Dirac equations," Indiana Univ. Math. J. 40, 845-883 (1991).
-
(1991)
Indiana Univ. Math. J.
, vol.40
, pp. 845-883
-
-
Georgiev, V.1
-
13
-
-
0039658608
-
Homogenisation limits and Wigner transforms
-
Gérard, P., Markowich, P., Mauser, N., and Poupaud, F., "Homogenisation limits and Wigner transforms," Commun. Pure Appl. Math. 50, 323-379 (1997).
-
(1997)
Commun. Pure Appl. Math.
, vol.50
, pp. 323-379
-
-
Gérard, P.1
Markowich, P.2
Mauser, N.3
Poupaud, F.4
-
14
-
-
21944449213
-
Semiclassical limit of the nonlinear Schrödinger equation in small time
-
Grenier, E., "Semiclassical limit of the nonlinear Schrödinger equation in small time," Proc. Am. Math. Soc. 126, 523-530 (1998).
-
(1998)
Proc. Am. Math. Soc.
, vol.126
, pp. 523-530
-
-
Grenier, E.1
-
15
-
-
84981754205
-
The Cauchy problem for the coupled Maxwell and Dirac equations
-
Gross, L., "The Cauchy problem for the coupled Maxwell and Dirac equations," Commun. Pure Appl. Math. 19, 1-15 (1966).
-
(1966)
Commun. Pure Appl. Math.
, vol.19
, pp. 1-15
-
-
Gross, L.1
-
17
-
-
0142053655
-
Optique géométrique pour des systémes semi-linéaires avec invariance de jauge
-
Jeanne, P. Y., "Optique géométrique pour des systémes semi-linéaires avec invariance de jauge," Mem. Soc. Math. Fr. (N.S.) 90 (2002).
-
(2002)
Mem. Soc. Math. Fr. (N.S.)
, vol.90
-
-
Jeanne, P.Y.1
-
18
-
-
0001198693
-
Resonant one dimensional geometric optics
-
Joly, J., Metivier, G., and Rauch, J., "Resonant one dimensional geometric optics," J. Funct. Anal. 114, 106-231 (1993).
-
(1993)
J. Funct. Anal.
, vol.114
, pp. 106-231
-
-
Joly, J.1
Metivier, G.2
Rauch, J.3
-
19
-
-
33748756647
-
Recent results, in nonlinear geometric optics
-
Birkhäuser, Basel
-
Joly, J., Metivier, G., and Rauch, J., "Recent results, in nonlinear geometric optics," International Series in Numerical Mathematics 130 (Birkhäuser, Basel, 1999).
-
(1999)
International Series in Numerical Mathematics
, vol.130
-
-
Joly, J.1
Metivier, G.2
Rauch, J.3
-
20
-
-
0034356170
-
Adiabatic limit for the Maxwell - Lorentz equations
-
Kunze, S., and Spohn, H., "Adiabatic limit for the Maxwell - Lorentz equations," Ann. Inst. Henri Poincare 1, 625-653 (2000).
-
(2000)
Ann. Inst. Henri Poincare
, vol.1
, pp. 625-653
-
-
Kunze, S.1
Spohn, H.2
-
21
-
-
84972538741
-
Asymptotic solutions of oscillatory initial value problems
-
Lax, P., "Asymptotic solutions of oscillatory initial value problems," Duke Math. J. 24, 627-646 (1957).
-
(1957)
Duke Math. J.
, vol.24
, pp. 627-646
-
-
Lax, P.1
-
23
-
-
0035664744
-
The self-consistent Pauli equation
-
Masmoudi, M., and Mauser, N., "The self-consistent Pauli equation," Monatsh. Math. 132, 759-763 (2001).
-
(2001)
Monatsh. Math.
, vol.132
, pp. 759-763
-
-
Masmoudi, M.1
Mauser, N.2
-
24
-
-
0142053656
-
Space-adiabatic perturbation theory
-
Panati, J., Spohn, H., and Teufel, S., "Space-adiabatic perturbation theory," Adv. Theor. Math, Phys. 7 (2003).
-
(2003)
Adv. Theor. Math, Phys.
, vol.7
-
-
Panati, J.1
Spohn, H.2
Teufel, S.3
-
26
-
-
0142085383
-
Lectures on Nonlinear Geometrical Optics
-
AMS
-
Rauch, J., Lectures on Nonlinear Geometrical Optics, IAS/Park City Math. Series 5, AMS 1999.
-
(1999)
IAS/Park City Math. Series
, vol.5
-
-
Rauch, J.1
-
27
-
-
35348855615
-
Semi-classical approximation in quantum mechanics. A survey of old and recent mathematical results
-
Robert, D., "Semi-classical approximation in quantum mechanics. A survey of old and recent mathematical results," Helv. Phys. Acta 71, 44-116 (1998).
-
(1998)
Helv. Phys. Acta
, vol.71
, pp. 44-116
-
-
Robert, D.1
-
29
-
-
84887251437
-
Wigner functions vs. WKB-methods in multivalued geometrical optics
-
Sparber, C., Markowich, P., and Mauser, N., "Wigner functions vs. WKB-methods in multivalued geometrical optics," Asymptotic Anal. 33, 153-187 (2003).
-
(2003)
Asymptotic Anal.
, vol.33
, pp. 153-187
-
-
Sparber, C.1
Markowich, P.2
Mauser, N.3
-
30
-
-
0347112450
-
Semiclassical limit of the Dirac equation and spin precession
-
Spohn, H., "Semiclassical limit of the Dirac equation and spin precession," Asymptotic Anal. 282/2, 420-430 (2000).
-
(2000)
Asymptotic Anal.
, vol.282
, Issue.2
, pp. 420-430
-
-
Spohn, H.1
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