The aim of this article is to present a developed method that decomposes the autofluorescence spectrum into the spectra of naturally occurring biochemical components of biotissue. It requires knowledge of detailed spectrum behaviour of different endogenous fluorophores. We have studied the main bio-markers in human tissue and proposed a simple modelling algorithm for their spectra shapes. The e...

We extend the combinatorial Morse complex construction to the arbitrary free chain complexes, and give a short, self-contained, and elementary proof of the quasi-isomorphism between the original chain complex and its Morse

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Multivector fields provide an avenue for studying continuous dynamical systems in a combinatorial framework. There are currently two approaches the literature which use persistent homology to capture changes systems. The first captures Conley index, while second Morse decomposition. However, such have limitations. former approach only describes how index across selected isolated invariant set t...

The relativistic Dirac equation under spin symmetry is investigated for generalized Morse potential. We calculated the eigenvalues and the corresponding wave function by using the Nikiforov-Uvarov method. We also discussed two special cases: attractive radial and Deng-Fan potentials. We have also reported some numerical results and figures to show the effect of tensor interaction.

It is known that the hydrogenlike atom can be studied as a Morse oscillator, then here we show that these fact leads to an interesting method to obtain the matrix elements for the Coulomb potential. c © Electronic Journal of Theoretical Physics. All rights reserved.

We present the exact supersymmetric solution of Schrödinger equation with the Morse, Pöschl-Teller and Hulthén potentials by using the Nikiforov-Uvarov method. Eigenfunctions and corresponding energy eigenvalues are calculated for the first six excited states. Results are in good agreement with the ones obtained before. PACS numbers: 03.65.Ge, 12.39.Jh

This paper is dedicated to a proposition of a novel feature extraction method for 2-manifold objects in 3D. The topological description was used as a base of the method. The curvatures of the surface are used to obtain the description independent on the position and the orientation of the object. In the addition, the Morse theory and the Delaunay triangulation are combined together to generate ...

– The ambient framed bordism class of the connecting manifold of two consecutive critical points of a Morse–Smale function is estimated by means of a certain Hopf invariant. Applications include new examples of non-smoothable Poincaré duality spaces as well as an extension of the Morse complex.  2002 Éditions scientifiques et médicales Elsevier SAS RÉSUMÉ. – La classe ambiante de bordisme stab...