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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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Mapping the Wigner distribution function of the Morse oscillator onto a semiclassical distribution function [PDF]
The mapping of the Wigner distribution function (WDF) for a given bound state onto a semiclassical distribution function (SDF) satisfying the Liouville equation introduced previously by us is applied to the ground state of the Morse oscillator.
Tijero, M. C., Bund, G. W.
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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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ON GENERALIZED THUE–MORSE FUNCTIONS AND THEIR VALUES [PDF]
In this paper we extend and generalize, up to a natural bound of the method, our previous work Badziahin and Zorin [‘Thue–Morse constant is not badly approximable’, Int. Math. Res. Not. IMRN 19 (2015), 9618–9637] where we proved, among other things, that the Thue–Morse constant is not badly approximable.
DZMITRY BADZIAHIN, EVGENIY ZORIN
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THE ALGEBRAIC CONSTRUCTION OF THE NOVIKOV COMPLEX OF A CIRCLE-VALUED MORSE FUNCTION [PDF]
The Novikov complex of a circle-valued Morse function f : M ! S is constructed algebraically from the Morse-Smale complex of the restriction of the real-valued Morse function f : M !
Andrew Ranicki, Ranicki, Andrew
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Complexes of discrete Morse functions
The authors define the simplicial complex \(M(\Delta)\) of all \textit{discrete Morse functions} (in the sense of Forman's discrete Morse theory for cell complexes [\textit{R. Forman}, Adv. Math.134, No. 1, 90--145 (1998; Zbl 0896.57023)] of a fixed simplicial complex~\(\Delta\), and study the special cases where \(\Delta\)~is a graph, respectively a ...
Manoj K. Chari, Michael Joswig
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On Generalized Morse-Transue Function Spaces [PDF]
Marston Morse and William Transue (6, 8) have introduced and studied function spaces, called MT-spaces, for which the elements of the topological dual are of integral type.
H. W. Ellis
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Matrix factorization of Morse–Bott functions [PDF]
10 pages. Added an appendix on curved formal deformations.
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Morse-Conley-Floer homology [PDF]
The gradient flow of a Morse function on a smooth closed manifold generates, under suitable transversality assumptions, the Morse-Smale-Witten complex.
Rot, T.O. +2 more
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YFDM: YOLO for detecting Morse code
With the increasing complexity of the shortwave communication environment, the efficiency and accuracy of the manual detection of Morse code no longer meet actual needs. Therefore, this paper proposes a Morse code detection algorithm called YFDM. For the
Zhenhua Wei, Zijun Li, Siming Han
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