Results 71 to 80 of about 278,137 (249)

Self-adjoint extensions and spectral analysis in Calogero problem

, 2009
In this paper, we present a mathematically rigorous quantum-mechanical treatment of a one-dimensional motion of a particle in the Calogero potential $\alpha x^{-2}$.
Akhiezer N I, Akhiezer N I, Albeverio S, Alliluev S P, Audretsch J, B L Voronov, Bawin M, Behncke H, Berezin F A, D M Gitman, Ditkin V A, I V Tyutin, Jackiw R, Landau L D, Landau L D, Mott M F, Naimark M A, Narnhofer H, Reed M, Shabad A E, Tamm I E, Titchmarsh E C, Tyutin I V, Voronov B L Gitman D M Tyutin I V   +23 more
core   +1 more source

Reinforcement Learning Enabled Nanophotonic Devices

Laser &Photonics Reviews, EarlyView.
A reinforcement learning algorithm is used to design photonic devices. The method creates metagratings and grating couplers that efficiently control both the direction and polarization of light. Further, a reinforcement learning approach is used to design in‐plane integrated photonic devices. This approach paves the way for advanced photonic components
Zi Wang, Junyeob Song, Minsuk Lee, Wenqi Zhu, Amit Agrawal   +4 more
wiley   +1 more source

Operator pencil passing through a given operator

, 2013
Let $\Delta$ be a linear differential operator acting on the space of densities of a given weight $\lo$ on a manifold $M$. One can consider a pencil of operators $\hPi(\Delta)=\{\Delta_\l\}$ passing through the operator $\Delta$ such that any $\Delta_\l$
A. Biggs, H. M. Khudaverdian, Peetre J., Peetre J.   +3 more
core   +1 more source

Photonic Systolic Array for All‐Optical Matrix–Matrix Multiplication

Laser &Photonics Reviews, EarlyView.
A photonic systolic array is introduced, offering extreme parallelism in matrix‐matrix multiplication based on the synchronized movement of optical pulses along a crossbar array. Optical pulses traveling in perpendicular directions meet at freeform‐designed multiply‐accumulate units, each tailored to generate two signals whose intensity difference ...
Jungmin Kim, Qingyi Zhou, Zongfu Yu
wiley   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

Mathematische Nachrichten, EarlyView.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt, Markus Holzmann, Christian Stelzer‐Landauer   +2 more
wiley   +1 more source

Criteria of mutual adjointness of proper extensions of linear relations [PDF]

Математичні Студії, 2013
In the paper the role of {an} initial object is played by a~couple$(L,L_0)$ of closed linear relations in a~Hilbert space $H$,such that $L_0 subset L$. Each closed linear relation $L_1(M_1)$such that $L_0 subset L_1 subset L$ (respectively $L^{ast}subset
O. G. Storozh, Yu. I. Oliyar
doaj  

La reconstruction par association des problèmes publics : retour sur l’invention du blanchiment d’argent

Criminologie, 2016
L’objectif du présent article est de revenir sur les conditions d’émergence du problème de l’argent sale dont la prise en charge a contribué à déstabiliser de façon inédite le principe du secret bancaire.
Anthony Amicelle
doaj   +1 more source

Investigating Tuberculosis Dynamics Under Various Control Strategies: A Comprehensive Analysis Using Real Statistical Data

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat, Mahmoud H. DarAssi, Irfan Ahmad, Muhammad Altaf Khan, Reem Algethamie   +4 more
wiley   +1 more source

De la police guidée par le renseignement à la complexité des appareils policiers : les limites de l’usage des renseignements dans la conduite des affaires policières

Criminologie, 2005
RésuméDans cet article, l’auteur explore les limites que pose la police guidée par le renseignement (intelligence led policing – ILP) pour les organisations policières.
Frédéric Lemieux
doaj   +1 more source

Integrable lattices and their sublattices II. From the B-quadrilateral lattice to the self-adjoint schemes on the triangular and the honeycomb lattices

, 2007
An integrable self-adjoint 7-point scheme on the triangular lattice and an integrable self-adjoint scheme on the honeycomb lattice are studied using the sublattice approach.
A. Doliwa, Baxter R. J., Dynnikov I. A., M. Nieszporski, P. M. Santini, Sauer R., Senechal M.   +6 more
core   +1 more source