Results 21 to 30 of about 261,560 (199)
A note on the integrability of exceptional potentials via polynomial bi-homogeneous potentials
Bulletin of Computational Applied Mathematics, 2021 This paper is concerned with the polynomial integrability of the two-dimensional Hamiltonian systems associated to complex homogeneous polynomial potentials of degree k of type $V_{k,l}=\alpha (q_2-i q_1)^l (q_2+iq_1)^{k-l}$ with $\alpha$ in C and l=0 ...
Primitivo B. Acosta-Humánez +2 more
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Homogenization with Large Spatial Random Potential [PDF]
Multiscale Modeling & Simulation, 2010 We consider the homogenization of parabolic equations with large spatially-dependent potentials modeled as Gaussian random fields. We derive the homogenized equations in the limit of vanishing correlation length of the random potential. We characterize the leading effect in the random fluctuations and show that their spatial moments converge in law to ...
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PT-symmetric eigenvalues for homogeneous potentials [PDF]
Journal of Mathematical Physics, 2018 We consider one-dimensional Schrödinger equations with potential x2M(ix)ε, where M ≥ 1 is an integer and ε is real, under appropriate parity and time (PT)-symmetric boundary conditions. We prove the phenomenon which was discovered by Bender and Boettcher by numerical computation: as ε changes, the real spectrum suddenly becomes non-real in the sense ...
Alexandre Eremenko, Andrei Gabrielov
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Chemical potential calculations in non-homogeneous liquids
The Journal of Chemical Physics, 2018 The numerical computation of chemical potential in dense non-homogeneous fluids is a key problem in the study of confined fluid thermodynamics. To this day, several methods have been proposed; however, there is still need for a robust technique, capable of obtaining accurate estimates at large average densities.
Claudio Perego +2 more
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International Journal of Electrochemical Science, 2019 Polymer supported Ni(salen) and zeolite encapsulated Ni(salen) were synthesized and investigated as electrocatalysis agents in the electrohydrocyclization reaction using a reticulated vitreous carbon electrode in dimethylformamide. Cyclic voltammetry was
Brittanie A. Clendenin, James A. Miranda
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Uniform localization is always uniform [PDF]
, 2015 In this note we show that if a family of ergodic Schr\"odinger operators on $l^2({\Bbb Z}^\gamma)$ with continuous potentials have uniformly localized eigenfunctions then these eigenfunctions must be uniformly localized in a homogeneous ...
Han, Rui
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A trace inequality for generalized potentials in Lebesgue spaces with variable exponent
Journal of Function Spaces and Applications, 2004 A trace inequality for the generalized Riesz potentials Iα(x) is established in spaces Lp(x) defined on spaces of homogeneous type. The results are new even in the case of Euclidean spaces.
David E. Edmunds +2 more
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Power spectrum of stochastic wave and diffusion equations in the warm inflation models
European Physical Journal C: Particles and Fields, 2020 We discuss dissipative stochastic wave and diffusion equations resulting from an interaction of the inflaton with an environment in an external expanding homogeneous metric.
Z. Haba
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The BPS limit of rotating AdS black hole thermodynamics
Journal of High Energy Physics, 2019 We consider rotating, electrically charged, supersymmetric AdS black holes in four, five, six and seven dimensions, and provide a derivation of the respective extremization principles stating that the Bekenstein-Hawking entropy is the Legendre transform ...
Davide Cassani, Lorenzo Papini
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Physical Review Research, 2022 Dynamical potentials appear in many advanced electronic-structure methods, including self-energies from many-body perturbation theory, dynamical mean-field theory, electronic-transport formulations, and many embedding approaches. Here, we propose a novel
Tommaso Chiarotti +2 more
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