l) Analysis of Quantum Models (Schrödinger, Wigner, Dirac)



208 N. Ben Abdallah, P. Degond, I.M. Gamba: "Coupling one-dimensional time-dependent classical and quantum transport models",
J. Math. Phys. 43(1), 1-24, 2002.
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218 N. Ben Abdallah, P. Degond, I. Gamba: "Inflow boundary conditions for the time dependent one-dimensional Schrödinger equation",
C. R. Acad. Sci. Paris Sér. I Math. 331, no. 12, 1023--1028, 2000.
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358 N. Ben Abdallah, F. Méhats: "Semiclassical Analysis Schrödinger equation with a partially confining potential",
submitted, 2002.
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356 N. Ben Abdallah, C. Negulescu: "A one dimensional quantum transport model with small coherence lengths",
to appear in TTSP, 2002.
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209 N. Ben Abdallah, O. Pinaud: "Modélisation de l'évolution d'une diode à effet tunnel résonant sous l'effet d'une polarisation",
2001.
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326 A. Arnold, J. Carrillo, E. Dhamo: "On the periodic Wigner-Poisson-Fokker-Planck system",
submitted to ZAMP, 2002.
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42 A. Arnold, J.L. Lopez, P.A. Markowich, J. Soler: "An Analysis of Quantum Fokker-Planck Models: A Wigner Function Approach",
submitted, 2000.
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38 P. Bechouche, A. Jüngel: "Inviscid Limits of the Complex Ginzburg-Landau Equation",
Comm. Math. Phys., 214, 201-226, 2000.
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68 P. Bechouche, N. Mauser, F. Poupaud: "(Semi)-nonrelativistic limits of the Dirac equation with external time-dependent electromagnetic field",
Comm. Math. Phys., 197:405-425, 1998.
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257 P. Bechouche, J. Nieto, E. Ruiz Arriola, J. Soler: "On a variational approach to the time evolution of the mean field polaron",
to appear in Lecture Notes, Springer-Verlag, 2001.
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140 P. Bechouche, J. Nieto, E. Ruiz Arriola, J. Soler: "On the Time Evolution of the Mean-Field Polaron",
J. Math. Phys., Vol 41, 4293-4312, 2000.
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258 L.L. Bonilla, E. Ruiz Arriola, J. Soler: "Quantum Kinetic Equation including phonon scattering",
to appear in Lecture Notes, Springer-Verlag, 2001.
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249 F. Castella: "From the Von-Neumann equation to the Quantum Boltzmann equation in a deterministic framework",
to appear in J. Stat. Phys., 2001.
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330 F. Castella: "From the von Neumann Equation to the Quantum Boltzmann Equation II:
Identifying the Born Series",
to appear in J. Stat. Phys., 2002.
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248 F. Castella, P. Degond: "Convergence of the Von-Neuman equation towards the Quantum Boltzmann equation in a deterministic framework",
C. R. Acad. Sci., t. 329, sér. I, p. 231-236, 1999.
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238 F. Castella, L. Erdös, F. Frommlet, P.A. Markowich: "Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems",
J. Stat. Physics, Vol.100, Issue 3/4, pp.543-601, 2000.
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336 P. Degond, A. El Ayyadi: "A coupled Schrödinger Drift-Diffusion model for quantum semiconductor device simulations",
submitted, 2002.
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102 J. Dolbeault, R. Illner, H. Lange: "On Asymmetric Quasiperiodic Solutions of Hartree-Fock Systems",
to appear in Journal of Differential Equations, 2002.
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222 M. Escobedo, S. Mischler: "On a Quantum Boltzmann equation for a gas of photons",
2001.
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203 C. Fermanian Kammerer, P. Gerard: "Mesures semi-classiques et croisement de modes",
2001.
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197 I. Gasser, R. Illner, P.A. Markowich, C. Schmeiser: "Semiclassical, t to infinity asymptotics and dispersive effects for Hartree-Fock systems",
M2AN, 32, 699-713, 1998.
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234 I. Gasser, C.K. Lin, P.A. Markowich: "A Review of Dispersive Limits of (non)linear Schrödinger-Type Equations",
Taiwanese Journal. of Math., Vol.4, No.4, pp.501-529, 2000.
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302 P.-E. Jabin, F. Otto, B. Perthame: "Line-energy Ginzburg-Landau models: zero-energy states",
to appear in Ann. Scuola Norm. Sup. Pisa, 2001.
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213 P.-E. Jabin, B. Perthame: "Compactness in Ginzburg-Landau energy by kinetic averaging (Note)",
2001.
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214 P.-E. Jabin, B. Perthame: "Compactness in Ginzburg-Landau energy by kinetic averaging",
2001.
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278 A. Jüngel, M.C. Mariani, D. Rial: "Local Existence of Solutions to the Transient Quantum Hydrodynamic Equations",
to appear in Math. Models Meth. Appl. Sci., 2001.
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348 A. Jüngel, S. Wang: "Convergence of Nonlinear Schrödinger-Poisson Systems to the Compressible Euler equations",
submitted, 2002.
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166 M. Lemou: "Linearized quantum and relativistic Fokker-Planck-Landau equations",
to appear in M2AS, 2000.
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261 J.L. Lòpez, O. Bokanowski, J. Soler: "On an Exchange Interaction Model for Quantum Transport: The Schrödinger-Poisson-Slater System",
submitted, 2001.
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253 J.L. Lòpez, J. Soler: "Asymptotic behaviour to the 3-D Schrödinger/Hartree-Poisson and Wigner-Poisson systems",
Math. Mod. Meth. Appl. Sci., Vol. 10, 923-943, 2000.
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254 J.L. Lòpez, J. Soler: "Large time asymptotics and stability of solutions to the 3-D Schrödinger-Poisson system: Space-time Wigner transforms and high frequency limit",
to appear in Diff. and Integral Equations, 2001.
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229 P.A. Markowich, G. Rein, G. Wolansky: "Existence and nonlinear stability of steady states of the Schrödinger-Poisson system",
to appear in JSP, 2002.
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263 J. Nieto: "A generalized mean field approach to the polaron",
to appear in Math. Mod. and Meth. in Appl. Sci., 2001.
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255 E. Ruiz Arriola, J. Soler: "A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers and stability",
J. Stat. Phys. 103, 1069-1105, 2001.
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71 E. Ruíz Arriola, J. Soler: "Asymptotic behaviour for the 3-D Schrödinger-Poisson system in the attractive case with positive energy",
Appl. Math. Lett. 12, 1-6, 1999.
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262 O. Sanchez, J. Soler: "Asymptotic behavior for the Schrödinger-Poisson-Slater system",
submitted, 2001.
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323 C. Sparber, P.A. Markowich, N. Mauser: "Multivalued Geometrical Optics: Wigner Functions versus WKB-Methods",
submitted, 2001.
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