Results 81 to 90 of about 112,078 (333)

Analysis of Electronic Structure and Binding Energy in Five‐Electron GaAs/AlxGa1‐xAs Quantum Dots Under Penetrable Confinement Potential

open access: yesAdvanced Theory and Simulations, EarlyView.
This study analyses the electronic structure of five‐electron spherical quantum dots with penetrable confinement potential. Spatial confinement and the influence of potential barrier height give rise to the unique properties of quantum dots. These effects lead to profound changes in their energy spectra and optical properties which play a key role in ...
Yusuf Yakar, Bekir Çakır, Ayhan Özmen
wiley   +1 more source

Ultralow‐Dimensionality Reduction for Identifying Critical Transitions by Spatial‐Temporal PCA

open access: yesAdvanced Science, EarlyView.
The proposed spatial‐temporal principal component analysis (stPCA) method analytically reduces high‐dimensional time‐series data to a single latent variable by transforming spatial information into temporal dynamics. By preserving the temporal properties of the original data, stPCA effectively identifies critical transitions and tipping points.
Pei Chen   +6 more
wiley   +1 more source

Natural Crystal Structure for Generating Raman‐Like Orbital Angular Momentum States

open access: yesAdvanced Science, EarlyView.
This work proposes a strategy for symmetry breaking of the degenerate OAM states relying on the natural anisotropy of crystal gain, to select the handedness of the spatial spiral phase front and further tunable Raman‐like OAM states by thermal‐driven, which clarifies the contribution of intrinsic crystal property to the OAM states and opens a new route
Tianxiang Meng   +4 more
wiley   +1 more source

Solution of boundary value problems for batteries: Operator‐theoretic methods

open access: yesAIChE Journal, EarlyView.
Abstract Batteries with porous electrodes of negligible ionic and electronic conduction resistance are modeled with reaction‐diffusion equations in multilayered media. The classical separation of variables becomes inapplicable to battery problems because of nonlinearities in reaction rates and constraints of imposed current. A linear operator‐theoretic
Doraiswami Ramkrishna   +1 more
wiley   +1 more source

Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus

open access: yesMathematics, 2023
This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary-value problems for differential equations of fractional order.
Tatiana Matseevich, Temirkhan Aleroev
doaj   +1 more source

Bound state eigenfunctions need to vanish faster than $|x|^{-3/2}$

open access: yes, 2016
In quantum mechanics students are taught to practice that eigenfunction of a physical bound state must be continuous and vanishing asymptotically so that it is normalizable in $x\in (-\infty, \infty)$.
Ahmed, Zafar
core   +1 more source

Eigenfunction expansions in thermoelasticity

open access: yesJournal of Mathematical Analysis and Applications, 1986
AbstractWe develop spectral theorems for a certain class of (non-) selfadjoint differential operators via eigenfunction expansions. To this end at first the equations of linear thermoelasticity are dealt with in the whole space for an isotropic, homogeneous medium.
openaire   +2 more sources

Uncontrolled Learning: Codesign of Neuromorphic Hardware Topology for Neuromorphic Algorithms

open access: yesAdvanced Intelligent Systems, EarlyView.
Codesign is used to implement a neuroscience‐inspired machine learning algorithm in all neuromorphic hardware. In this implementation, the hidden memristors cannot be directly accessed, limiting control of the network during training. By leveraging theoretical tools, including memristor circuits dynamics and a closed form expression for the network ...
Frank Barrows   +3 more
wiley   +1 more source

Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions [PDF]

open access: yesMathematics Interdisciplinary Research, 2016
In this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. Also, we obtain formal series solutions for some partial differential equations associated with the second ...
Seyfollah Mosazadeh
doaj   +1 more source

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