394
Références
15. J.-L. Basdevant et J. Dalibard, Problèmes quantiques, Ecole Polytechnique
2004.
16. L. Baudoin, O. Kavian and J.-P. Puel, Regularity for a Schrödinger equation
with singular potentials and application to bilinear optimal control, J. Diff.
Eq. 216 (2005) 188–222.
17. A.D. Becke, Density functional exchange energy approximation with correct
asymptotic behavior, Phys. Rev. A 38 (1988) 3098–3100.
18. A.D. Becke, Density-functional thermochemistry. III. The role of exact exchange, J. Chem. Phys. 98 (1993) 5648–5652.
19. A. Ben Haj-Yedder, E. Cancès and C. Le Bris, Optimal laser control of chemical reactions using automatic differentiation, in : Proceedings of Automatic
Differentiation 2000 : From Simulation to Optimization, Nice, George Corliss, Christèle Faure, Andreas Griewank, Laurent Hascoët, and Uwe Naumann
(eds.), Springer-Verlag 2001, 203–213.
20. A. Ben-Haj-Yedder, A. Auger, C. Dion, E. Cancès, A. Keller, C. Le Bris and
O. Atabek, Numerical optimization of laser fields to control molecular orientation, Phys. Rev. A 66 (2002) 063401.
21. R. Benguria, H. Brezis and E.H. Lieb, The Thomas-Fermi-von Weizsäcker
theory of atoms and molecules, Comm. Math. Phys. 79 (1981) 167–180.
22. R. Benguria and E.H. Lieb, The most negative ion in the Thomas-Fermi-von
Weizsäcker theory of atoms and molecules, J. Phys. B 18 (1985) 1045–1059.
23. R. Benguria and C.S. Yarur, Sharp condition on the decay of the potential
for the absence of the zero-energy ground state of the Schrödinger equation, J.
Phys. A 23 (1990) 1513–1518.
24. Ph. Benilan, J.A. Goldstein and G.R. Rieder, The Fermi-Amaldi correction in
spin polarized Thomas-Fermi theory, in : Differential equations and mathematical physics, C. Bennewitz (ed.), Academic 1991, 25–37.
25. J. Bergh and J. Löfström, Interpolation spaces. An introduction, Springer 1976.
26. C. Bernardi et Y. Maday, Approximations spectrales de problèmes aux limites
elliptiques, Springer 1992.
27. D. Bicout and M. Field (eds.), Quantum mechanical simulation for studying
biological systems, Springer 1995.
28. G. Binnig, H. Rohrer, C. Gerber and E. Heibel, Tunneling through a controllable
vacuum gap, Appl. Phys. Lett. 40 (1982) 178–180.
29. X. Blanc, A mathematical insight into ab initio simulations of the solid phase,
in : Lecture Notes in Chemistry 74 (2001).
30. X. Blanc, Geometry optimization for crystals in Thomas-Fermi type theories
of solids, Comm. P.D.E. 26 (2001) 207–252.
31. X. Blanc and C. Le Bris, Optimisation de géométrie dans le cadre des théories
de Thomas-Fermi pour les cristaux périodiques, C. R. Acad. Sci. Paris Série I
329 (1999) 551–556.
32. X. Blanc and C. Le Bris, Thomas-Fermi type models for polymers and thin
films, Adv. Diff. Eq. 5 (2000) 977–1032.
33. X. Blanc and C. Le Bris, Periodicity of the infinite-volume ground-state of a
one-dimensional quantum model, Nonlinear Analysis, Theory, Methods, and
Applications 48 (2002) 791–803.
Références
15. J.-L. Basdevant et J. Dalibard, Problèmes quantiques, Ecole Polytechnique
2004.
16. L. Baudoin, O. Kavian and J.-P. Puel, Regularity for a Schrödinger equation
with singular potentials and application to bilinear optimal control, J. Diff.
Eq. 216 (2005) 188–222.
17. A.D. Becke, Density functional exchange energy approximation with correct
asymptotic behavior, Phys. Rev. A 38 (1988) 3098–3100.
18. A.D. Becke, Density-functional thermochemistry. III. The role of exact exchange, J. Chem. Phys. 98 (1993) 5648–5652.
19. A. Ben Haj-Yedder, E. Cancès and C. Le Bris, Optimal laser control of chemical reactions using automatic differentiation, in : Proceedings of Automatic
Differentiation 2000 : From Simulation to Optimization, Nice, George Corliss, Christèle Faure, Andreas Griewank, Laurent Hascoët, and Uwe Naumann
(eds.), Springer-Verlag 2001, 203–213.
20. A. Ben-Haj-Yedder, A. Auger, C. Dion, E. Cancès, A. Keller, C. Le Bris and
O. Atabek, Numerical optimization of laser fields to control molecular orientation, Phys. Rev. A 66 (2002) 063401.
21. R. Benguria, H. Brezis and E.H. Lieb, The Thomas-Fermi-von Weizsäcker
theory of atoms and molecules, Comm. Math. Phys. 79 (1981) 167–180.
22. R. Benguria and E.H. Lieb, The most negative ion in the Thomas-Fermi-von
Weizsäcker theory of atoms and molecules, J. Phys. B 18 (1985) 1045–1059.
23. R. Benguria and C.S. Yarur, Sharp condition on the decay of the potential
for the absence of the zero-energy ground state of the Schrödinger equation, J.
Phys. A 23 (1990) 1513–1518.
24. Ph. Benilan, J.A. Goldstein and G.R. Rieder, The Fermi-Amaldi correction in
spin polarized Thomas-Fermi theory, in : Differential equations and mathematical physics, C. Bennewitz (ed.), Academic 1991, 25–37.
25. J. Bergh and J. Löfström, Interpolation spaces. An introduction, Springer 1976.
26. C. Bernardi et Y. Maday, Approximations spectrales de problèmes aux limites
elliptiques, Springer 1992.
27. D. Bicout and M. Field (eds.), Quantum mechanical simulation for studying
biological systems, Springer 1995.
28. G. Binnig, H. Rohrer, C. Gerber and E. Heibel, Tunneling through a controllable
vacuum gap, Appl. Phys. Lett. 40 (1982) 178–180.
29. X. Blanc, A mathematical insight into ab initio simulations of the solid phase,
in : Lecture Notes in Chemistry 74 (2001).
30. X. Blanc, Geometry optimization for crystals in Thomas-Fermi type theories
of solids, Comm. P.D.E. 26 (2001) 207–252.
31. X. Blanc and C. Le Bris, Optimisation de géométrie dans le cadre des théories
de Thomas-Fermi pour les cristaux périodiques, C. R. Acad. Sci. Paris Série I
329 (1999) 551–556.
32. X. Blanc and C. Le Bris, Thomas-Fermi type models for polymers and thin
films, Adv. Diff. Eq. 5 (2000) 977–1032.
33. X. Blanc and C. Le Bris, Periodicity of the infinite-volume ground-state of a
one-dimensional quantum model, Nonlinear Analysis, Theory, Methods, and
Applications 48 (2002) 791–803.