Results 21 to 30 of about 230,228 (280)
A Morse complex on manifolds with boundary [PDF]
, 2010 Given a compact smooth manifold $M$ with non-empty boundary and a Morse function, a pseudo-gradient Morse-Smale vector field adapted to the boundary allows one to build a Morse complex whose homology is isomorphic to the (absolute or relative to the ...
Laudenbach, Francois
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Jurnal Ilmiah Pendidikan Fisika Al-Biruni, 2023 This paper studies the thermodynamic and magnetic properties of some diatomic molecules governed by Scarf and Morse non-central potentials under external magnetic and electric fields.
Cari Cari +2 more
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A Remark on the Heat Equation and Minimal Morse Functions on Tori and Spheres
Ingeniería y Ciencia, 2013 Let (M, g) be a compact, connected riemannian manifold that is homogeneous, i.e. each pair of points p, q ∈ M have isometric neighborhoods. This paper is a first step towards an understanding of the extent to which it is true that for each "generic ...
Carlos Cadavid +1 more
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Topology of optimal flows with collective dynamics on closed orientable surfaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 We consider flows on a closed surface with one or more heteroclinic cycles that divide the surface into two regions. One of the region has gradient dynamics, like Morse fields.
Alexandr Olegovich Prishlyak +1 more
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Open Physics, 2023 The problem of optimization of interatomic potentials is formulated and solved by means of generalization of the Morse, Kaxiras–Pandey, and Rydberg potentials. The interatomic potentials are treated as solutions of some second-order ordinary differential
Surulere Samuel +2 more
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Morse functions statistics [PDF]
Functional Analysis and Other Mathematics, 2007 5 pages, 2 ...
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Condensed Matter, 2023 In this study, we investigated, for the first time, the effects of the spatially varying effective mass, asymmetry parameter, and well width on the electronic and optical properties of a quantum well which has an improved Rosen–Morse potential ...
Esin Kasapoglu +2 more
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Witten-Morse functions and Morse inequalities on digraphs
, 2021 In this paper, we prove that discrete Morse functions on digraphs are flat Witten-Morse functions and Witten complexes of transitive digraphs approach to Morse complexes. We construct a chain complex consisting of the formal linear combinations of paths which are not only critical paths of the transitive closure but also allowed elementary paths of the
Lin, Yong, Wang, Chong
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Matrix factorization of Morse–Bott functions [PDF]
Duke Mathematical Journal, 2020 10 pages. Added an appendix on curved formal deformations.
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Morse's radial wave function [PDF]
Lithuanian Journal of Physics, 2010 We show that the matrix elements (m |eβx| n) for the one-dimensional harmonic oscillator permit to resolve the vibrationalSchrodinger equation for the Morse interaction.
J. H. Caltenco +2 more
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