Results 91 to 100 of about 73,171 (204)

On Aharonov-Casher bound states

, 2013
In this work bound states for the Aharonov-Casher problem are considered. According to Hagen's work on the exact equivalence between spin-1/2 Aharonov-Bohm and Aharonov-Casher effects, is known that the $\boldsymbol{\nabla}\cdot\mathbf{E}$ term cannot be
B. Allen, B.S. Kay, C. Filgueiras, C. Filgueiras, C. Filgueiras, C. Filgueiras, C. Furtado, C. Furtado, C. Furtado, C.R. Hagen, C.R. Hagen, C.R. Hagen, C.R. Hagen, C.R. Oliveira de, C.R. Oliveira de, C.R. Oliveira de, D.J. Griffiths, D.K. Park, D.K. Park, E. Al-Qaq, E. O. Silva, E. Passos, E.O. Silva, E.R. Mello Bezerra de, F. M. Andrade, F.A.B. Coutinho, F.M. Andrade, F.M. Andrade, H. Belich, H. Belich, H.D. Doebner, J. Audretsch, J.J. Sakurai, K. Bakke, K. Bakke, K. Bakke, K. Bakke, K. Bakke, K. Bakke, K. Bakke, K. Bakke, K. Bakke, K. Kowalski, M. Alford, M. Peshkin, M. Reed, M.G. Alford, M.S. Shikakhwa, N.I. Akhiezer, P.D.S. Gerbert, P.R. Giri, R. Jackiw, S. Albeverio, T. Blum, T. Chakraborty, T. Ihn, W. Bulla, W. Li, Y. Aharonov, Y. Aharonov, Y.N. Demkov   +60 more
core   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Quantum Schwarzschild-(A)dS black holes: unitarity and singularity resolution

Journal of High Energy Physics
We consider the canonical quantisation of spherically symmetric spacetimes within unimodular gravity, leaving sign choices in the metric general enough to include both the interior and exterior Schwarzschild-(Anti-)de Sitter spacetime.
Steffen Gielen, Sofie Ried
doaj   +1 more source

In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies

Random Structures &Algorithms, Volume 68, Issue 3, May 2026.
ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook, Santosh S. Vempala, Matthew S. Zhang   +2 more
wiley   +1 more source

Formally self-adjoint quasi-differential operators and boundary-value problems

Electronic Journal of Differential Equations, 2013
We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval.
Andrii Goriunov, Vladimir Mikhailets, Konstantin Pankrashkin   +2 more
doaj  

Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher, Bart Rosenzweig, Jonathan Stanfill   +2 more
wiley   +1 more source

Application of Group‐Theoretical Approaches in Structural Natural Frequency Analyses

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT Group theory has profoundly advanced physics and chemistry in systems with symmetries. Yet its use in structural engineering applications has not yet been fully explored beyond the aesthetics of symmetric designs. This work addresses two significant gaps that have limited the broader adoption of group‐theoretic methods in structural vibration ...
Shiyao Sun, Kapil Khandelwal
wiley   +1 more source

Using Self-adjoint Extensions in Shape Optimization [PDF]

, 2009
Self-adjoint extensions of elliptic operators are used to model the solution of a partial differential equation defined in a singularly perturbed domain. The asymptotic expansion of the solution of a Laplacian with respect to a small parameter e is first performed in a domain perturbed by the creation of a small hole.
Antoine Laurain, Katarzyna Szulc
openaire   +1 more source

Characterizations of Ordered Self-adjoint Operator Spaces

, 2016
In this paper, we generalize the work of Werner and others to develop two abstract characterizations for self-adjoint operator spaces. The corresponding abstract objects can be represented as self-adjoint subspaces of $B(H)$ in such a way that both a ...
Russell, Travis
core  

Bilinear control of evolution equations with unbounded lower order terms. Application to the Fokker–Planck equation

Comptes Rendus. Mathématique
We study the exact controllability of the evolution equation \begin{equation*} u^{\prime }(t)+Au(t)+p(t)Bu(t)=0 \end{equation*} where $A$ is a nonnegative self-adjoint operator on a Hilbert space $X$ and $B$ is an unbounded linear operator on $X ...
Alabau-Boussouira, Fatiha, Cannarsa, Piermarco, Urbani, Cristina   +2 more
doaj   +1 more source