Results 101 to 110 of about 38,188 (251)
Model of tunnelling through periodic array of quantum dots
Several explicitly solvable models of electron tunnelling in a system of single and double two-dimensional periodic arrays of quantum dots with two laterally coupled leads in a homogeneous magnetic field are constructed.
Meynster Dmitry, Popov Anton, Popov Igor
doaj +1 more source
Boundary triples and Weyl functions for singular perturbations of self-adjoint operators
Given the symmetric operator $A_N$ obtained by restricting the self-adjoint operator $A$ to $N$, a linear dense set, closed with respect to the graph norm, we determine a convenient boundary triple for the adjoint $A_N^*$ and the corresponding Weyl ...
Posilicano, Andrea
core
Using Self-adjoint Extensions in Shape Optimization [PDF]
Self-adjoint extensions of elliptic operators are used to model the solution of a partial differential equation defined in a singularly perturbed domain. The asymptotic expansion of the solution of a Laplacian with respect to a small parameter e is first performed in a domain perturbed by the creation of a small hole.
Antoine Laurain, Katarzyna Szulc
openaire +1 more source
ABSTRACT Accurately predicting open‐channel flow under complex conditions remains a challenge. This study introduces a novel synergetic self‐adaptive data assimilation (DA) framework, using a proportional‐integral‐derivative (PID) controller to dynamically calibrate the bed roughness parameter k s in a shallow‐water equation model (via the momentum ...
M. Almetwally Ahmed, S. Samuel Li
wiley +1 more source
Quantum Schwarzschild-(A)dS black holes: unitarity and singularity resolution
We consider the canonical quantisation of spherically symmetric spacetimes within unimodular gravity, leaving sign choices in the metric general enough to include both the interior and exterior Schwarzschild-(Anti-)de Sitter spacetime.
Steffen Gielen, Sofie Ried
doaj +1 more source
Quasinormal modes and the analytical continuation of non-self-adjoint operators
We briefly review the analytical continuation method for determining quasinormal modes (QNMs) and the associated frequencies in open systems. We explore two exactly solvable cases based on the Pöschl–Teller potential to show that the analytical ...
Martín G. Richarte +4 more
doaj +1 more source
Groups, Special Functions and Rigged Hilbert Spaces
We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that they are aspects of the same mathematical reality.
Enrico Celeghini +2 more
doaj +1 more source
Comparing Slab Viscous Dissipation Under Slab Distributed Weakening and Slab Segmentation Scenarios
Abstract Subduction of cold, dense oceanic lithosphere is a key driver of plate tectonics and mantle convection. However, how much gravitational potential energy is internally dissipated by slab deformation during subduction remains debated and largely depends on the mechanisms of slab weakening.
Wenfa Zhou +3 more
wiley +1 more source
Adjoint and self-adjoint differential operators on graphs
A differential operator on a directed graph with weighted edges is characterized as a system of ordinary differential operators. A class of local operators is introduced to clarify which operators should be considered as defined on the graph.
Robert Carlson
doaj
Symmetry preserving self-adjoint extensions of Schrödinger operators with singular potentials [PDF]
Д. М. Гитман +3 more
openalex +1 more source

