Zobrazeno 1 - 10
of 4 396
pro vyhledávání: '"Lima, A. F. A."'
Autor:
de Lima, Ronaldo F., Pipoli, Giuseppe
We classify the isoparametric hypersurfaces and the homogeneous hypersurfaces of $\mathbb H^n\times\mathbb R$ and $\mathbb S^n\times\mathbb R$, $n\ge 2$, by establishing that any such hypersurface has constant angle function and constant principal cu
Externí odkaz:
http://arxiv.org/abs/2411.11506
We establish the existence of one-parameter families of helicoidal surfaces of $\mathbb H^2\times\mathbb R$ which, under mean curvature flow, simultaneously rotate about a vertical axis and translate vertically.
Comment: 10 pages, 4 figures. arX
Comment: 10 pages, 4 figures. arX
Externí odkaz:
http://arxiv.org/abs/2402.04757
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 205-246 (2024)
Our purpose is to establish nonexistence results concerning complete noncompact mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products, under mild constraints on the warping and soliton function
Externí odkaz:
https://doaj.org/article/e60b4b5dc7b84d0292fc0cae77ac17a3
Autor:
de Lima, Emanuel F.
We consider the formation of cold ground-state polar molecules in a low vibrational level by laser fields. Starting from a pair of cold colliding atoms of dissimilar species, we propose a strategy consisting of three steps. In the first step, a pump
Externí odkaz:
http://arxiv.org/abs/2308.11085
We consider {translators} (i.e., initial condition of translating solitons) to mean curvature flow (MCF) in the hyperbolic $3$-space $\mathbb H^3$, providing existence and classification results. More specifically, we show the existence and uniquenes
Externí odkaz:
http://arxiv.org/abs/2307.14136
Quantum control techniques are employed to perform adiabatic quantum computing in the presence of noise. First, we analyze the adiabatic entanglement protocol (AEP) for two qubits. In this case, we found that this protocol is very robust against nois
Externí odkaz:
http://arxiv.org/abs/2306.07269
Autor:
Lima, Daniel F., Azevedo, Frankbelson dos S., Pereira, Luís Fernando C., Filgueiras, Cleverson, Silva, Edilberto O.
This work presents a study on the nonrelativistic quantum motion of a charged particle in a rotating frame, considering the Aharonov-Bohm effect and a uniform magnetic field. We derive the equation of motion and the corresponding radial equation to d
Externí odkaz:
http://arxiv.org/abs/2305.16448
We approach the one-parameter family of rotational constant mean curvature (CMC) spheres of $\mathbb H^n\times\mathbb R$ and $\mathbb S^n\times\mathbb R$ focusing on their stability and isoperimetry properties. We prove that all rotational CMC sphere
Externí odkaz:
http://arxiv.org/abs/2301.11038
Autor:
de Lima, Ronaldo F., Pipoli, Giuseppe
We consider translators to the extrinsic flows in $\mathbb R^n\times\mathbb R$ and $\mathbb H^n\times\mathbb R$ (called $r$-mean curvature flows or $r$-MCF, for short) whose velocity functions are the higher order mean curvatures $H_r.$ We show that
Externí odkaz:
http://arxiv.org/abs/2211.03918
We apply the Krotov method for open and closed quantum systems with the objective of finding optimized controls to manipulate qubit/qutrit systems in the presence of the external environment. In the case of unitary optimization, the Krotov method is
Externí odkaz:
http://arxiv.org/abs/2208.03114