Results 1 to 10 of about 261,540 (179)
Finiteness of integrable $n$-dimensional homogeneous polynomial potentials [PDF]
Physics Letters A, 2007 We consider natural Hamiltonian systems of $n>1$ degrees of freedom with polynomial homogeneous potentials of degree $k$. We show that under a genericity assumption, for a fixed $k$, at most only a finite number of such systems is integrable.
Ablowitz +32 more
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Discrete breathers in systems with homogeneous potentials - analytic solutions [PDF]
Physical Review Letters, 1999 We construct lattice Hamiltonians with homogeneous interaction potentials which allow for explicit breather solutions. Especially we obtain exponentially localized solutions for $d$-dimensional lattices with $d=2,3$.Comment: 10 ...
A. A. Ovchinnikov +14 more
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Cones generated by a generalized fractional maximal function [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The paper considers the space of generalized fractional-maximal function, constructed on the basis of a rearrangement-invariant space. Two types of cones generated by a nonincreasing rearrangement of a generalized fractional-maximal function and ...
N.А. Bokayev +2 more
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Quasi-homogeneity of potentials
Journal of Noncommutative Geometry, 2021 In noncommutative differential calculus, Jacobi algebra (or potential algebra) plays the role of Milnor algebra in the commutative case. The study of Jacobi algebras is of broad interest to researchers in cluster algebra, representation theory and singularity theory.
Hua, Zheng, Zhou, Guisong
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Mutual Potential of Homogeneous Polyhedra [PDF]
Celestial Mechanics and Dynamical Astronomy, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Werner, Robert A., Scheeres, Daniel J.
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Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers [PDF]
Annales Geophysicae, 2016 The Euler potentials for two current layers aligned to an ambient homogeneous magnetic field are found. Previous treatment of such a system assumed constant current density in the layers. However, the magnetic field becomes infinite at the edges.
M. Vandas, E. P. Romashets
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Homogeneous linear ion crystal in a hybrid potential [PDF]
Quantum Information Processing, 2022 We investigate the properties of a linear ion crystal in a combination of quadratic and quartic potentials. Both the discrete and the continuous model are employed to explore the homogeneity of a linear ion crystal by controlling the proportional parameter between the quadratic and quartic components. It is found that a uniform ion distribution in such
Ming-Shen Li +6 more
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Effect of Non-Homogeneous Soil Characteristics on Substation Grounding-Grid Performances: A Review
Applied Sciences, 2021 Designing an effective grounding system for AC substations needs predetermination of ground resistance and ground potential distribution caused by fault current’s presence in the ground.
Navinesshani Permal +3 more
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Kramers–Fokker–Planck operators with homogeneous potentials [PDF]
Mathematical Methods in the Applied Sciences, 2021 In this article we establish a global subelliptic estimate for Kramers–Fokker–Planck operators with homogeneous potentials V(q) under some conditions, involving in particular the control of the eigenvalues of the Hessian matrix of the potential. Our subelliptic lower bounds are the optimal ones up to some logarithmic correction.
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Advances in High Energy Physics, 2020 In this paper, we investigate the relativistic quantum dynamics of spin-0 massive charged particle subject to a homogeneous magnetic field in the Gödel-type space-time with potentials.
Faizuddin Ahmed
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