Results 31 to 40 of about 17,519,874 (311)
On the number of eigenvalues of Schrödinger operators with complex potentials [PDF]
Journal of the London Mathematical Society, 2016 We study the eigenvalues of Schrödinger operators with complex potentials in odd space dimensions. We obtain bounds on the total number of eigenvalues in the case where V decays exponentially at infinity.
R. Frank, A. Laptev, O. Safronov
semanticscholar +1 more source
Jamming anomaly in -symmetric systems
New Journal of Physics, 2016 The Schrödinger equation with a ${ \mathcal P }{ \mathcal T }$ -symmetric potential is used to model an optical structure consisting of an element with gain coupled to an element with loss. At low gain–loss amplitudes γ , raising the amplitude results in
I V Barashenkov +2 more
doaj +1 more source
Complex Tasks: Potentials and Pitfalls
Mathematics, 2020 Life in today’s world is characterized by complexity and rapid change. Twenty-first century skills and especially mathematical understanding are supposed to crucially contribute to meeting the demands of our world since mathematics offers strategies to ...
Nina Bohlmann, Ralf Benölken
doaj +1 more source
Variational approach to studying solitary waves in the nonlinear Schrödinger equation with complex potentials. [PDF]
Physical Review E, 2016 We discuss the behavior of solitary wave solutions of the nonlinear Schrödinger equation (NLSE) as they interact with complex potentials, using a four-parameter variational approximation based on a dissipation functional formulation of the dynamics.
F. Mertens +5 more
semanticscholar +1 more source
Stresses and Displacements in an Elliptically Perforated Circular Disc Under Radial Pressure
Engineering Transactions, 2014 The complex potentials governing the elastic equilibrium of a finite circular disc, elliptically perforated at its center, are obtained using Muskhelishvili’s formulation.
Christos F. MARKIDES +1 more
doaj +1 more source
Post-prior equivalence for transfer reactions with complex potentials [PDF]
, 2017 In this paper, we address the problem of the post-prior equivalence in the calculation of inclusive breakup and transfer cross sections. For that, we employ the model proposed by Ichimura, Austern, and Vincent [Phys. Rev.
J. Lei, A. Moro
semanticscholar +1 more source
A family of complex potentials with real spectrum [PDF]
, 1998 We consider a two-parameter non hermitean quantum-mechanical hamiltonian that is invariant under the combined effects of parity and time reversal transformation.
Alvarez G +14 more
core +3 more sources
A numerical method for the solution of plane crack problems in finite media
International Journal of Mathematics and Mathematical Sciences, 1980 A general method for the solution of plane isotropic elasticity crack problems inside a finite medium of arbitrary shape or an infinite medium with holes of arbitrary shape is presented.
P. S. Theocaris, N. Ioakimidis
doaj +1 more source
npj Computational Materials, 2021 Large scale atomistic simulations provide direct access to important materials phenomena not easily accessible to experiments or quantum mechanics-based calculation approaches.
Tongqi Wen +6 more
doaj +1 more source
One-Dimensional Schrödinger Operators with Complex Potentials
Annales de l'Institute Henri Poincare. Physique theorique, 2019 We discuss realizations of L:=-∂x2+V(x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt ...
J. Derezi'nski, V. Georgescu
semanticscholar +1 more source