-
1
-
-
21344495258
-
Derivation and classical limit of a mean field equation for a quantum Coulomb system: Maxwell-Boltzmann statistics
-
Angelescu N., Pulvirenti M., Teta A. Derivation and classical limit of a mean field equation for a quantum Coulomb system: Maxwell-Boltzmann statistics. J. Stat. Phys. 1994, 74:147-165.
-
(1994)
J. Stat. Phys.
, vol.74
, pp. 147-165
-
-
Angelescu, N.1
Pulvirenti, M.2
Teta, A.3
-
2
-
-
0013499711
-
Derivation of the Schrödinger-Poisson equation from the quantum N-particle Coulomb problem
-
Bardos C., Erdös L., Golse F., Mauser N.J., Yau H.T. Derivation of the Schrödinger-Poisson equation from the quantum N-particle Coulomb problem. C.R. Acad. Sci., Paris, Ser. I 2002, 334:515-520.
-
(2002)
C.R. Acad. Sci., Paris, Ser. I
, vol.334
, pp. 515-520
-
-
Bardos, C.1
Erdös, L.2
Golse, F.3
Mauser, N.J.4
Yau, H.T.5
-
3
-
-
0041841469
-
Mean field dynamics of fermions and the time-dependent Hartree-Fock equation
-
Bardos C., Golse F., Mauser N.J. Mean field dynamics of fermions and the time-dependent Hartree-Fock equation. J. d. Mathématiques Pures et Appl. 2003, 82:665-683.
-
(2003)
J. d. Mathématiques Pures et Appl.
, vol.82
, pp. 665-683
-
-
Bardos, C.1
Golse, F.2
Mauser, N.J.3
-
4
-
-
79951508072
-
Derivation of the time-dependent Hartree-Fock equation: the Coulomb interaction case manuscript.
-
C. Bardos, A. Gottilieb, F. Golse, N.J. Mauser, Derivation of the time-dependent Hartree-Fock equation: the Coulomb interaction case, manuscript.
-
-
-
Bardos, C.1
Gottilieb, A.2
Golse, F.3
Mauser, N.J.4
-
5
-
-
77955517402
-
Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates
-
Bao W., Cai Y., Wang H. Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates. J. Comput. Phys. 2010, 229:7874-7892.
-
(2010)
J. Comput. Phys.
, vol.229
, pp. 7874-7892
-
-
Bao, W.1
Cai, Y.2
Wang, H.3
-
6
-
-
33750607407
-
Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates
-
Bao W., Chern I-L., Lim F.Y. Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates. J. Comput. Phys. 2006, 219:836-854.
-
(2006)
J. Comput. Phys.
, vol.219
, pp. 836-854
-
-
Bao, W.1
Chern, I.-L.2
Lim, F.Y.3
-
7
-
-
6344289363
-
Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow
-
Bao W., Du Q. Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. SIAM J. Sci. Comput. 2004, 25:1674-1697.
-
(2004)
SIAM J. Sci. Comput.
, vol.25
, pp. 1674-1697
-
-
Bao, W.1
Du, Q.2
-
8
-
-
11244292274
-
Effective one particle quantum dynamics of electrons: a numerical study of the Schrödinger-Poisson-Xα model
-
Bao W., Mauser N.J., Stimming H.P. Effective one particle quantum dynamics of electrons: a numerical study of the Schrödinger-Poisson-Xα model. Commun. Math. Sci. 2003, 1:809-831.
-
(2003)
Commun. Math. Sci.
, vol.1
, pp. 809-831
-
-
Bao, W.1
Mauser, N.J.2
Stimming, H.P.3
-
9
-
-
0037138007
-
Time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
-
Bao W., Jin S., Markowich P.A. Time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. J. Comput. Phys. 2002, 175:487-524.
-
(2002)
J. Comput. Phys.
, vol.175
, pp. 487-524
-
-
Bao, W.1
Jin, S.2
Markowich, P.A.3
-
10
-
-
1842531889
-
Numerical studies of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regime
-
Bao W., Jin S., Markowich P.A. Numerical studies of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regime. SIAM J. Sci. Comput. 2003, 25:27-64.
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, pp. 27-64
-
-
Bao, W.1
Jin, S.2
Markowich, P.A.3
-
11
-
-
28644437242
-
Dynamics of the ground state and central vortex states in Bose-Einstein condensation
-
Bao W., Zhang Y. Dynamics of the ground state and central vortex states in Bose-Einstein condensation. Math. Models Methods Appl. Sci. 2005, 15:1863-1896.
-
(2005)
Math. Models Methods Appl. Sci.
, vol.15
, pp. 1863-1896
-
-
Bao, W.1
Zhang, Y.2
-
12
-
-
0031538201
-
On a one-dimensional Schrödinger-Poisson scattering model
-
Ben Abballan N., Degond P., Markowich P.A. On a one-dimensional Schrödinger-Poisson scattering model. ZAMP 1997, 48:35-55.
-
(1997)
ZAMP
, vol.48
, pp. 35-55
-
-
Ben Abballan, N.1
Degond, P.2
Markowich, P.A.3
-
13
-
-
0242643001
-
Local density approximation for the energy of a periodic Coulomb model
-
Bokanowski O., Grébert B., Mauser N.J. Local density approximation for the energy of a periodic Coulomb model. Math. Meth. Mod. Appl. Sci. 2003, 13(8):1185-1217.
-
(2003)
Math. Meth. Mod. Appl. Sci.
, vol.13
, Issue.8
, pp. 1185-1217
-
-
Bokanowski, O.1
Grébert, B.2
Mauser, N.J.3
-
14
-
-
0033409439
-
Local approximation for the Hartree-Fock exchange potential: a deformation approach
-
Bokanowski O., Mauser N.J. Local approximation for the Hartree-Fock exchange potential: a deformation approach. Math. Meth. Mod. Appl. Sci. 1999, 9(6):941-961.
-
(1999)
Math. Meth. Mod. Appl. Sci.
, vol.9
, Issue.6
, pp. 941-961
-
-
Bokanowski, O.1
Mauser, N.J.2
-
15
-
-
0344494858
-
On a exchange interaction model for quantum transport: the Schrödinger-Poisson-Slater system
-
Bokanowski O., López J.L., Soler J. On a exchange interaction model for quantum transport: the Schrödinger-Poisson-Slater system. Math. Model Methods Appl. Sci. 2003, 12(10):1397-1412.
-
(2003)
Math. Model Methods Appl. Sci.
, vol.12
, Issue.10
, pp. 1397-1412
-
-
Bokanowski, O.1
López, J.L.2
Soler, J.3
-
16
-
-
85190817445
-
-
Global solutions of nonlinear Schrödinger equations, AMS,
-
J. Bourgain, Global solutions of nonlinear Schrödinger equations, AMS, 1999.
-
(1999)
-
-
Bourgain, J.1
-
17
-
-
85190780051
-
-
Semilinear Schröinger equations, Courant Lecture Notes in Mathematics, New York University Courant Institute of Mathematical Sciences AMS,
-
T. Cazenave, Semilinear Schröinger equations, Courant Lecture Notes in Mathematics, vol. 10, New York University Courant Institute of Mathematical Sciences AMS, 2003.
-
(2003)
, vol.10
-
-
Cazenave, T.1
-
18
-
-
24944580977
-
Spectral element method for the Schrödinger-Poisson system
-
Cheng C., Liu Q., Lee J., Massoud H.Z. Spectral element method for the Schrödinger-Poisson system. J. Comput. Electron. 2004, 3:417-421.
-
(2004)
J. Comput. Electron.
, vol.3
, pp. 417-421
-
-
Cheng, C.1
Liu, Q.2
Lee, J.3
Massoud, H.Z.4
-
19
-
-
0000362580
-
A fast adaptive multipole algorithm in three dimensions
-
Cheng H., Greengard L., Rokhlin V. A fast adaptive multipole algorithm in three dimensions. J. Comput. Phys. 1999, 155:468-498.
-
(1999)
J. Comput. Phys.
, vol.155
, pp. 468-498
-
-
Cheng, H.1
Greengard, L.2
Rokhlin, V.3
-
20
-
-
70350069913
-
Stationary solutions of the Schrödinger-Newton model - an ODE approach
-
Choquard P., Stubbe J., Vuffray M. Stationary solutions of the Schrödinger-Newton model - an ODE approach. Differential Integral Equations 2008, 21:665-679.
-
(2008)
Differential Integral Equations
, vol.21
, pp. 665-679
-
-
Choquard, P.1
Stubbe, J.2
Vuffray, M.3
-
21
-
-
84959186380
-
Note on exchange phenomena in the Thomas-Fermi atom
-
Dirac P.A.M. Note on exchange phenomena in the Thomas-Fermi atom. Proc. Cambridge Pilos. Soc. 1931, 26:376-385.
-
(1931)
Proc. Cambridge Pilos. Soc.
, vol.26
, pp. 376-385
-
-
Dirac, P.A.M.1
-
23
-
-
27344459965
-
Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains
-
Ehrhardt M., Zisowsky A. Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains. J. Comput. Appl. Math. 2006, 187:1-28.
-
(2006)
J. Comput. Appl. Math.
, vol.187
, pp. 1-28
-
-
Ehrhardt, M.1
Zisowsky, A.2
-
24
-
-
0036292379
-
A new fast-multipole accelerated Poisson solver in two dimensions
-
Ethridge F., Greengard L. A new fast-multipole accelerated Poisson solver in two dimensions. SIAM J. Sci. Comput. 2001, 23(3):741-760.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, Issue.3
, pp. 741-760
-
-
Ethridge, F.1
Greengard, L.2
-
25
-
-
0000396658
-
A fast algorithm for particle simulations
-
Greengard L., Rokhlin V. A fast algorithm for particle simulations. J. Comput. Phys. 1987, 73:325-348.
-
(1987)
J. Comput. Phys.
, vol.73
, pp. 325-348
-
-
Greengard, L.1
Rokhlin, V.2
-
26
-
-
85011484616
-
A new version of the fast multipole method for the Laplace equation in three dimensions
-
Greengard L., Rokhlin V. A new version of the fast multipole method for the Laplace equation in three dimensions. Acta Numerica 1997, 6:229-269.
-
(1997)
Acta Numerica
, vol.6
, pp. 229-269
-
-
Greengard, L.1
Rokhlin, V.2
-
27
-
-
0242371113
-
A numerical study of Schrödinger-Newton equations
-
Harrison R., Moroz I.M., Tod K.P. A numerical study of Schrödinger-Newton equations. Nonlinearity 2003, 16:101-122.
-
(2003)
Nonlinearity
, vol.16
, pp. 101-122
-
-
Harrison, R.1
Moroz, I.M.2
Tod, K.P.3
-
28
-
-
0032203448
-
An improved fast multipole algorithm for potential fields
-
Hrycak T., Rokhlin V. An improved fast multipole algorithm for potential fields. SIAM J. Sci. Comput. 1998, 19:1804-1826.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1804-1826
-
-
Hrycak, T.1
Rokhlin, V.2
-
29
-
-
33847043281
-
Thomas-Fermi and related theories of atoms and molecules
-
Lieb E.H. Thomas-Fermi and related theories of atoms and molecules. Rev. Modern Phys. 1981, 55:603-641.
-
(1981)
Rev. Modern Phys.
, vol.55
, pp. 603-641
-
-
Lieb, E.H.1
-
30
-
-
84916181784
-
Existence and uniqueness of the minimizing of Choquards' nonlinear equation
-
Lieb E.H. Existence and uniqueness of the minimizing of Choquards' nonlinear equation. Stud. Appl. Math. 1976/77, 57:93-105.
-
(1976)
Stud. Appl. Math.
, vol.57
, pp. 93-105
-
-
Lieb, E.H.1
-
31
-
-
33846040104
-
The Thomas-Fermi theory of atoms, molecules, and solids
-
Lieb E.H., Simon B. The Thomas-Fermi theory of atoms, molecules, and solids. Adv. Math. 1977, 23:22-116.
-
(1977)
Adv. Math.
, vol.23
, pp. 22-116
-
-
Lieb, E.H.1
Simon, B.2
-
32
-
-
0001929193
-
Solution of Hartree-Fock equations for Coulomb systems
-
Lions P.L. Solution of Hartree-Fock equations for Coulomb systems. Commun. Math. Phys. 1987, 109:33-97.
-
(1987)
Commun. Math. Phys.
, vol.109
, pp. 33-97
-
-
Lions, P.L.1
-
33
-
-
78049507652
-
Energy solution to Schrödinger-Poisson system in the two-dimensional whole space manuscript.
-
S. Masaki, Energy solution to Schrödinger-Poisson system in the two-dimensional whole space, manuscript.
-
-
-
Masaki, S.1
-
34
-
-
0035427295
-
The Schrödinger-Poisson-Xα equation
-
Mauser N.J. The Schrödinger-Poisson-Xα equation. Appl. Math. Lett. 2001, 14:759-763.
-
(2001)
Appl. Math. Lett.
, vol.14
, pp. 759-763
-
-
Mauser, N.J.1
-
35
-
-
3542992111
-
Long-Time Dynamics of the Schrödinger-Poisson-Slater Systems
-
Sánchez Ó., Soler J. Long-Time Dynamics of the Schrödinger-Poisson-Slater Systems. J. Statist. Phys. 2004, 114:179-204.
-
(2004)
J. Statist. Phys.
, vol.114
, pp. 179-204
-
-
Sánchez, Ó.1
Soler, J.2
-
37
-
-
33846410438
-
A simplification of the Hartree-Fock method
-
Slater J.C. A simplification of the Hartree-Fock method. Phys. Rev. 1951, 81:385-390.
-
(1951)
Phys. Rev.
, vol.81
, pp. 385-390
-
-
Slater, J.C.1
-
38
-
-
31144462554
-
The IVP for the Schrödinger-Poisson-Xα equation in one dimension
-
Stimming H.P. The IVP for the Schrödinger-Poisson-Xα equation in one dimension. Math. Models Methods Appl. Sci. 2005, 15:1169-1180.
-
(2005)
Math. Models Methods Appl. Sci.
, vol.15
, pp. 1169-1180
-
-
Stimming, H.P.1
-
39
-
-
0001518684
-
On the construction and comparison of difference schemes
-
Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 1968, 5:505-517.
-
(1968)
SIAM J. Numer. Anal.
, vol.5
, pp. 505-517
-
-
Strang, G.1
-
41
-
-
0041891207
-
Applications of fast multipole method to boundary integral equation method
-
K.I. Yoshida, Applications of fast multipole method to boundary integral equation method, Ph.d thesis, 2001.
-
(2001)
Ph.d thesis.
-
-
Yoshida, K.I.1
-
42
-
-
77951647679
-
A new version fast multipole method for evaluating the stress field of dislocation ensembles
-
Zhao D.G., Huang J.F., Xiang Y. A new version fast multipole method for evaluating the stress field of dislocation ensembles. Model. Simul. Mater. Sci. Eng. 2010, 18(4).
-
(2010)
Model. Simul. Mater. Sci. Eng.
, vol.18
, Issue.4
-
-
Zhao, D.G.1
Huang, J.F.2
Xiang, Y.3
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