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Homogenization limits and Wigner transforms

- P. Gérard, P. Markowich, N. Mauser, F. Poupaud
- Mathematics
- 1 April 1997

We present a theory for carrying out homogenization limits for quadratic functions (called “energy densities”) of solutions of initial value problems (IVPs) with anti-self-adjoint (spatial)… Expand

Weak Copling Limit of the N-Particle Schrödinger Equation

This work is devoted to the derivation of a nonlinear 1-particle equation from a linear AT-particle Schrodinger equation in the time dependent case. It emphazises the role of a so-called "finite… Expand

(Semi)-Nonrelativistic Limits of the Dirac Equation with External Time-Dependent Electromagnetic Field

- Philippe Bechouche, N. Mauser
- Physics, Mathematics
- 1 October 1998

Abstract: We perform a mathematical study of the limit of infinite velocity of light for the Dirac equation with given time-dependent electromagnetic potential. Our approach is based on the use of… Expand

THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D

- P. Markowich, N. Mauser
- Mathematics
- 1 February 1993

Under natural assumptions on the initial density matrix of a mixed quantum state (Hermitian, non-negative definite, uniformly bounded trace, Hilbert-Schmidt norm and kinetic energy) we prove that… Expand

A Wigner‐function approach to (semi)classical limits: Electrons in a periodic potential

- P. Markowich, N. Mauser, F. Poupaud
- Physics
- 1 March 1994

A rigorous derivation of the semiclassical Liouville equation for electrons which move in a crystal lattice (without the influence of an external field) is presented herein. The approach is based on… Expand

Multiscale Modeling of Planar and Nanowire Field-Effect Biosensors

- C. Heitzinger, N. Mauser, C. Ringhofer
- PhysicsSIAM J. Appl. Math.
- 13 January 2010

TLDR

Mean field dynamics of fermions and the time-dependent Hartree-Fock equation

- C. Bardos, F. Golse, A. Gottlieb, N. Mauser
- Mathematics
- 4 April 2002

Wigner functions versus WKB‐methods in multivalued geometrical optics

- Christof Sparber, P. Markowich, N. Mauser
- Mathematics
- 26 September 2001

We consider the Cauchy-problem for a class of scalar linear dispersive equations with rapidly oscillating initial data. The problem of high-frequency asymptotics of such models is reviewed,in… Expand

The limit from the Schrödinger‐Poisson to the Vlasov‐Poisson equations with general data in one dimension

- Ping Zhang, Y. Zheng, N. Mauser
- Mathematics
- 1 May 2002

We deal with the classical limit of the Schrödinger‐Poisson system to the Vlasov‐Poisson equations as the Planck constant ϵ goes to zero. This limit is also frequently called “semiclassical limit”.… Expand

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