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Asymptotic Analysis of a Schrödinger-Poisson System with Quantum Wells and Macroscopic Nonlinearities in Dimension 1

Faraj, A. (2010)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 35Q02, 35Q05, 35Q10, 35B40.We consider the stationary one dimensional Schrödinger-Poisson system on a bounded interval with a background potential describing a quantum well. Using a partition function which forces the particles to remain in the quantum well, the limit h®0 in the nonlinear system leads to a uniquely solved nonlinear problem with concentrated particle density. It allows to conclude about the convergence of the solution.

Asymptotic and analytic properties of resonance functions

Erik Balslev, Erik Skibsted (1990)

Annales de l'I.H.P. Physique théorique

Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential

Veronica Felli, Alberto Ferrero, Susanna Terracini (2011)

Journal of the European Mathematical Society

Asymptotics of solutions to Schrödinger equations with singular magnetic and electric potentials is investigated. By using a Almgren type monotonicity formula, separation of variables, and an iterative Brezis–Kato type procedure, we describe the exact behavior near the singularity of solutions to linear and semilinear (critical and subcritical) elliptic equations with an inverse square electric potential and a singular magnetic potential with a homogeneity of order −1.

Asymptotic behavior of the ground state of large atoms

Heinz Siedentop (1989)

Journées équations aux dérivées partielles

Asymptotic distribution of negative eigenvalues for two dimensional Pauli operators with nonconstant magnetic fields

Akira Iwatsuka, Hideo Tamura (1998)

Annales de l'institut Fourier

This article studies the asymptotic behavior of the number $N (λ)$ of the negative eigenvalues $< - λ$ as $λ \to + 0$ of the two dimensional Pauli operators with electric potential $V (x)$ decaying at $\infty$ and with nonconstant magnetic field $b (x)$ , which is assumed to be bounded or to decay at $\infty$ . In particular, it is shown that $N (λ) = (1 / 2 π) \int_{V (x) > λ} b (x) d x (1 + o (1))$ , when $V (x)$ decays faster than $b (x)$ under some additional conditions.

Asymptotic expansion for the functional of Markovian evolution in $ℝ^{d}$ in the circuit of diffusion approximation.

Samoilenko, I.V. (2005)

Journal of Applied Mathematics and Stochastic Analysis

Asymptotic properties of the magnetic integrated density of states.

Raikov, G.D. (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one.

Alexander V. Sobolev (2006)

Revista Matemática Iberoamericana

We consider a periodic pseudo-differential operator on the real line, which is a lower-order perturbation of an elliptic operator with a homogeneous symbol and constant coefficients. It is proved that the density of states of such an operator admits a complete asymptotic expansion at large energies. A few first terms of this expansion are found in a closed form.

Asymptotique de la phase de diffusion à haute énergie pour l'opérateur de Dirac

Vincent Bruneau (1996)

Journées équations aux dérivées partielles

Asymptotique des largeurs de résonances pour un modèle d'effet tunnel microlocal

Hamadi Baklouti (1998)

Annales de l'I.H.P. Physique théorique

Displaying 61 – 70 of 70

Currently displaying 61 – 70 of 70