Results 1 to 10 of about 230,110 (162)
The relativistic Dirac–Morse Green’s function [PDF]
Journal of Mathematical Physics, 2004 Using a recently developed approach for solving the three-dimensional Dirac equation with spherical symmetry, we obtain the two-point Green’s function of the relativistic Dirac–Morse problem. This is accomplished by setting up the relativistic problem in such a way that makes comparison with the nonrelativistic problem highly transparent and results in
Alhaidari, A. D.
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Finding Multiple Optimal Solutions to an Integer Linear Program by Random Perturbations of Its Objective Function [PDF]
AlgorithmsInteger linear programs (ILPs) and mixed integer programs (MIPs) often have multiple distinct optimal solutions, yet the widely used Gurobi optimization solver returns certain solutions at disproportionately high frequencies.
Noah Schulhof +4 more
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On the maximum number of period annuli for second order conservative equations
Mathematical Modelling and Analysis, 2021 We consider a second order scalar conservative differential equation whose potential function is a Morse function with a finite number of critical points and is unbounded at infinity.
Armands Gritsans, Inara Yermachenko
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Reversing orientation homeomorphisms of surfaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 Let $M$ be a connected compact orientable surface, $f:M\to \mathbb{R}$ be a Morse function, and $h:M\to M$ be a diffeomorphism which preserves $f$ in the sense that $f\circ h = f$. We will show that if $h$ leaves invariant each regular component of each
Iryna Kuznietsova, Sergiy Maksymenko
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Diffeomorphisms preserving Morse–Bott functions [PDF]
Indagationes Mathematicae, 2020 Let $f:M\to\mathbb{R}$ be a Morse-Bott function on a closed manifold $M$, so the set $ _f$ of its critical points is a closed submanifold whose connected components may have distinct dimensions. Denote by $\mathcal{S}(f) = \{h \in \mathcal{D}(M) \mid f\circ h=h \}$ the group of diffeomorphisms of $M$ preserving $f$ and let $\mathcal{D}( _f)$ be the ...
Khohliyk, Olexandra, Maksymenko, Sergiy
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Indonesian Journal of Chemistry, 2021 This study aims to apply a semi-classical approach using some analytically solvable potential functions to accurately compute the first ten pure vibrational energies of molecular hydrogen (H2) and its isotopes in their ground electronic states.
Redi Kristian Pingak +3 more
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A New Generalized Morse Potential Function for Calculating Cohesive Energy of Nanoparticles
Energies, 2020 A new generalized Morse potential function with an additional parameter m is proposed to calculate the cohesive energy of nanoparticles. The calculations showed that a generalized Morse potential function using different values for the m and α parameters
Omar M. Aldossary, Anwar Al Rsheed
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Level Sets of Weak-Morse Functions for Triangular Mesh Slicing
Mathematics, 2020 In the context of CAD CAM CAE (Computer-Aided Design, Manufacturing and Engineering) and Additive Manufacturing, the computation of level sets of closed 2-manifold triangular meshes (mesh slicing) is relevant for the generation of 3D printing patterns ...
Daniel Mejia-Parra +4 more
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Anais da Academia Brasileira de Ciências, 2023 Our research focuses on studying magnon dynamics in a Morse lattice. We used a Heisenberg Hamiltonian to represent the spins while a Morse formalism governed the lattice deformations.
MARCONI SILVA SANTOS JUNIOR +2 more
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Discrete Morse Functions and Watersheds
Journal of Mathematical Imaging and Vision, 2023 Abstract Any watershed, when defined on a stack on a normal pseudomanifold of dimension d, is a pure (d-1)-subcomplex that satisfies a drop-of-water principle. In this paper, we introduce Morse stacks, a class of functions that are equivalent to discrete Morse functions.
Bertrand, Gilles +2 more
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