Research fields: Partial Differential Equations: (Asymptotic) Analyis, Modeling, Numerics & Simulations, generalized NonLinear Schrödinger Equations (NLS), Applications in Quantum Physics

Free (pre)publications on the ArXiv (for pdf files of other papers please contact me)

1. NLS: Blow-up and Stability, Numerics, Absorbing Boundary Conditions

• On the non-equivalence of perfectly matched layers and exterior complex scaling, A. Scrinzi, H. P. Stimming, N. J .Mauser, arXiv:1306.6853

• Numerical study of the transverse stability of NLS soliton solutions in several classes of NLS type equations, Kristelle Roidot, Norbert Mauser, arXiv:1401.4745

• Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical evidence, Christophe Besse , Remi Carles, Norbert Mauser, Hans-Peter Stimming, Discrete and Continous Dynamical Systems – B 9(1) (2008) 11-36, arXiv:math/0603107

• Solving highly-oscillatory NLS with SAM: numerical efficiency and geometric properties, Philippe Chartier, Norbert J. Mauser, Florian Mehats, Yong Zhang, arXiv:1308.1217

2. Low rank approximations, NUFFT, Numerical methods for Micromagnetism,

• LaBonte's method revisited: An effective steepest descent method for micromagnetic energy minimization Lukas Exl, Simon Bance, Franz Reichel, Thomas Schrefl, Hans Peter Stimming, Norbert J. Mauser, J. Appl. Phys. 115, 17D118 (2014) arXiv:1309.5796

• FFT-based Kronecker product approximation to micromagnetic long-range interactions, Lukas Exl, Claas Abert, Norbert J. Mauser, Thomas Schrefl, Hans Peter Stimming, Dieter Suess, Math. Models Methods Appl. Sci. 24 (2014) 1877-1901, arXiv:1212.3509

3. Measures of Correlation

• Physics behind the minimum of relative entropy measures for correlations, K. Held, N. Mauser, European Physical Journal B, D & E (9) (2013) 23-28, arXiv:1303.2051

• Correlation in fermion or boson systems as the minimum of entropy relative to all free states , Alex D. Gottlieb, Norbert J. Mauser, arXiv:1403.7640

• Properties of nonfreeness: an entropy measure of electron correlation, Alex D. Gottlieb, Norbert J. Mauser , Int. J. of Quantum Information 5(6) (2007) 10 – 33, arXiv:quant-ph/0608171

• New measure of electron correlation. Alex D. Gottlieb, Norbert J. Mauser, Phys. Rev. Lett. 95 (12) (2005) 213-217. arXiv:quant-ph/0503098

4. NLS applications for quantum physics, Gross Pitaevskii, stochastic NLS

• Shapiro effect in atomchip-based bosonic Josephson junctions, Julian Grond, Thomas Betz, Ulrich Hohenester, Norbert J. Mauser, Joerg Schmiedmayer, Thorsten Schumm, New J. Phys. 13 065026 (2011) , arXiv:1102.1459

• Dephasing in coherently-split quasicondensates. H.-P. Stimming, N. J. Mauser, J. Schmiedmayer, I. E. Mazets Phys. Rev. A 83, 023618 (2011), arXiv:1011.2276

• Fluctuations and stochastic processes in one-dimensional many-body quantum systems H.-P. Stimming, N. J. Mauser, J. Schmiedmayer, I. E. Mazets. Phys. Rev. Lett. 105, 015301 (2010), arXiv:0910.5337

5. Hartree and Hartree Fock : derivation by mean field limits

• Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states, Claude Bardos, Francois Golse, Alex D. Gottlieb, Norbert J. Mauser. Journal of Statistical Physics 115 (3/4) (2004) 1037 – 1055, arXiv:quant-ph/0312005

• Mean field dynamics of fermions and the time-dependent Hartree-Fock equation. Claude Bardos, Francois Golse, Alex D. Gottlieb, Norbert J. Mauser , J. Math. Pures Appl. (9) 82 (6) (2003) 665-683, arXiv:math-ph/0204009

6. Multi Configuration Time Dependent Hartree Fock

• L^2 Analysis of the Multi-Configuration Time-Dependent Hartree-Fock Equations, Norbert J. Mauser, Saber Trabelsi, Math.Mod.Meth. in the Appl. Sciences 11 (2010) 2053-2073, arXiv:1002.1816

• Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations, C. Bardos, I. Catto, N. Mauser, S. Trabelsi, Archives of Rational Mechanics and Applications 198(1) (2010) 273-330, arXiv:0903.3647

7. Wigner transforms and semiclassical limits

• Coarse-scale representations and smoothed Wigner transforms, Agissilaos G. Athanassoulis, Norbert J. Mauser, Thierry Paul, Journal de Mathematiques Pures et Appliquées 91 (2009) 296-338, arXiv:0804.0259

• On the time evolution of Wigner measures for Schrodinger equations, Remi Carles, Clotilde Fermanian Kammerer, Norbert Mauser, Hans Peter Stimming, Commun. Pure Appl. Anal. 8, 2 (2009) 559-585, arXiv:0803.0667

• (Semi)classical limit of the Hartree equation with harmonic potential, Remi Carles, Norbert Mauser, Hans Peter Stimming,SIAM J. Appl. Math. 66(1) (2005) 29-56, arXiv:math/0405370

• Wigner Functions versus WKB-Methods in Multivalued Geometrical Optics, Christof Sparber, Peter A. Markowich, Norbert J. Mauser, Asymptotic Analysis 33 (2) (2003) 153-187, arXiv:math-ph/0109029

8. Relativistic Quantum Theory: Dirac, Pauli equations and non-relativistic limits

• On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit, Philippe Bechouche, Norbert J. Mauser, Sigmund Selberg, J. Hyp.Diff. Equ. 2 (1) (2005) 129 – 182, arXiv:math/0303079

• Nonrelativistic limit of Klein-Gordon-Maxwell to Schrodinger-Poisson, Philippe Bechouche, Norbert Mauser, Sigmund Selberg, Amer. J. Math. 126 (1) (2004) 31-64, arXiv:math/0202201

• On the Convergence to a Statistical Equilibrium for the Dirac Equation, T.V. Dudnikova, A.I. Komech, N.J. Mauser Russian J. Math. Physics, 10 (2003), no.4, 399-410, arXiv:math-ph/0508048