Results 31 to 40 of about 112,539 (200)

Bound states for the quantum dipole moment in two dimensions [PDF]

open access: yes, 2012
We calculate accurate eigenvalues and eigenfunctions of the Schr\"odinger equation for a two-dimensional quantum dipole. This model proved useful for the study of elastic effects of a single edge dislocation.
Amore, Paolo, Fernández, Francisco M
core   +2 more sources

The nonlocal boundary problem with perturbations of antiperiodicity conditions for the eliptic equation with constant coefficients

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
In this article, we investigate a problem with nonlocal boundary conditions which are perturbations of antiperiodical conditions in bounded $m$-dimensional parallelepiped using Fourier method. We describe properties of a transformation operator $R:L_2(G)
Ya.O. Baranetskij   +3 more
doaj   +1 more source

Spectral problem for the sixth order nonclassical differential equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In this article we investigate the correctness of boundary value problems for a sixth order quasi-hyperbolic equation in the Sobolev space Lu = −D6t u + ∆u − λu (Dt =∂/∂t , ∆ = Σni=1∂2/∂x2i – Laplace operator, λ – real parameter). For the given operator
A.I. Kozhanov   +4 more
doaj   +1 more source

Generalized eigenfunctions and scattering matrices for position-dependent quantum walks

open access: yes, 2019
We study the spectral analysis and the scattering theory for time evolution operators of position-dependent quantum walks. Our main purpose of this paper is construction of generalized eigenfunctions of the time evolution operator.
Morioka, Hisashi
core   +1 more source

Regional Shopping Objectives in British Grocery Retail Transactions Using Segmented Topic Models

open access: yesApplied Stochastic Models in Business and Industry, EarlyView.
ABSTRACT Understanding the customer behaviours behind transactional data has high commercial value in the grocery retail industry. Customers generate millions of transactions every day, choosing and buying products to satisfy specific shopping needs.
Mariflor Vega Carrasco   +4 more
wiley   +1 more source

Signatures of three coalescing eigenfunctions

open access: yes, 2011
Parameter dependent non-Hermitian quantum systems typically not only possess eigenvalue degeneracies, but also degeneracies of the corresponding eigenfunctions at exceptional points.
Demange, Gilles, Graefe, Eva-Maria
core   +2 more sources

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

open access: yesThe Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

A Class of Exactly-Solvable Eigenvalue Problems

open access: yes, 2001
The class of differential-equation eigenvalue problems $-y''(x)+x^{2N+2}y(x)=x^N Ey(x)$ ($N=-1,0,1,2,3,...$) on the interval ...
Bender C M   +4 more
core   +1 more source

EN The wave model of secondary flows and coherent structures in pipes

open access: yesHolodilʹnaâ Tehnika i Tehnologiâ, 2020
In this article, a theoretical analysis of the flows arising in the cross sections of fluid and gas flows is performed. Such flows are subdivided into secondary flows and coherent structures. From experimental studies it is known that both types of flows
S. Surkov
doaj   +1 more source

Eigenfunction rules

open access: yes, 2021
من المعروف جيدًا أن الوظائف الذاتية يجب أن تكون مستمرة في كل نقطة فضاء من الهيكل الذي يتم توطينها فيه. هذه ليست القاعدة الوحيدة التي يتعين عليهم الوفاء بها. تُستخدم القواعد التي تنطوي على مشتقات الوظيفة الذاتية أيضًا بكميات كبيرة وعلى حدود جميع الأنظمة المادية. الهدف من هذا القسم هو محاولة الوصول إلى صياغة عامة لقواعد الوظيفة الذاتية.
L. Dobrzyński   +3 more
openaire   +1 more source

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