Results 81 to 90 of about 38,445 (215)

Dynamical investigation of the nonlinear Schrödinger equation with second-order spatiotemporal involvement of the time-conformable operator

open access: yesNonlinear Analysis
The article analyzes the application of the extended hyperbolic function technique to a conformable-operator nonlinear Schrödinger equation, incorporating group velocity dispersion coefficients and second-order spatiotemporal components.
Muhammad Amin S. Murad   +4 more
doaj   +1 more source

Trace formulae for Schr\"odinger operators with singular interactions

open access: yes, 2015
Let $\Sigma\subset\mathbb{R}^d$ be a $C^\infty$-smooth closed compact hypersurface, which splits the Euclidean space $\mathbb{R}^d$ into two domains $\Omega_\pm$.
Behrndt, Jussi   +2 more
core  

What to Make and How to Make It: Combining Machine Learning and Statistical Learning to Design New Materials

open access: yesAdvanced Intelligent Discovery, EarlyView.
Combining machine learning and probabilistic statistical learning is a powerful way to discover and design new materials. A variety of machine learning approaches can be used to identify promising candidates for target applications, and causal inference can help identify potential ways to make them a reality.
Jonathan Y. C. Ting, Amanda S. Barnard
wiley   +1 more source

Quantization of a 3D Nonstationary Harmonic plus an Inverse Harmonic Potential System

open access: yesAdvances in Mathematical Physics, 2016
The Schrödinger solutions for a three-dimensional central potential system whose Hamiltonian is composed of a time-dependent harmonic plus an inverse harmonic potential are investigated.
Salim Medjber   +3 more
doaj   +1 more source

The Hopf Lemma for the Schrödinger Operator

open access: yesAdvanced Nonlinear Studies, 2020
We prove the Hopf boundary point lemma for solutions of the Dirichlet problem involving the Schrödinger operator -Δ+V{-\Delta+V} with a nonnegative potential V which merely belongs to Lloc1⁢(Ω){L_{\mathrm{loc}}^{1}(\Omega)}. More precisely, if u∈W01,2⁢(Ω)
Ponce Augusto C., Wilmet Nicolas
doaj   +1 more source

UMD Banach spaces and square functions associated with heat semigroups for Schr\"odinger and Laguerre operators

open access: yes, 2012
In this paper we define square functions (also called Littlewood-Paley-Stein functions) associated with heat semigroups for Schr\"odinger and Laguerre operators acting on functions which take values in UMD Banach spaces.
Betancor, J. J.   +3 more
core  

Structure and Spectroscopic Characterisation of Phenanthroline‐Based Iodobismuthate(III) Complexes Utilised for Raw Acoustic Signal Classification

open access: yesAdvanced Intelligent Discovery, EarlyView.
Memristors based on trimethylsulfonium (phenanthroline)tetraiodobismuthate have been utilised as a nonlinear node in a delayed feedback reservoir. This system allowed an efficient classification of acoustic signals, namely differentiation of vocalisation of the brushtail possum (Trichosurus vulpecula).
Ewelina Cechosz   +4 more
wiley   +1 more source

Are physiological oscillations physiological?

open access: yesThe Journal of Physiology, EarlyView., 2023
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source

Universal Entanglement and an Information‐Complete Quantum Theory

open access: yesAdvanced Physics Research, EarlyView.
This Perspective summarize an informationcomplete quantum theory which describes a fully quantum world without any classical systems and concepts. Here spacetime/gravity, having to be a physical quantum system, universally entangles matter (matter fermions and their gauge fields) as an indivisible trinity, and encodes information‐complete physical ...
Zeng‐Bing Chen
wiley   +1 more source

Spectral properties of the Schrödinger operator with operator-valued potential

open access: yesМатематичні Студії
Let $H$ be a separable Hilbert space, and let $\mathcal{H} := L_2(\mathbb{R}, H)$. In the space $\mathcal{H}$, we consider the self-adjoint Schrödinger operator of the form $ T_q f = -f'' + qf, $ where $q$ is a reflectionless operator-valued potential ...
Ya. V. Mykytyuk, N. S. Sushchyk
doaj   +1 more source

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