We study topology change in (2+1)D gravity coupling with non-Abelian SO(2, 1) Higgs field from the point of view of Morse theory. It is shown that the Higgs potential can be identified as a Morse function. The critical points of the latter (i.e. loci of change of the spacetime topology) coincide with zeros of the Higgs field. In these critical points twodimensional metric becomes degenerate, bu...

bond-order conservation-morse potential (boc-mp) method is used to carry out the calculationon the co2+ h20 system. one of the best catalysts for methanol synthesis in catalytic reductionof co2 with h2o is cu/zno/a1203 whose surface is supported by with some amount of pd orga. reduction of co2 with h20 on cu will result in methanol formation; while on ni will lead tomethane formation. in the me...

We improve the best known lower bounds on the distance between two points of a Morse cluster in R, with ρ ∈ [4.967, 15]. Our method is a generalization of the one applied to the Lennard-Jones potential in [2], and it also leads to improvements of lower bounds for the energy of a Morse cluster. Some of the numerical results have been announced in [1].

The Nikiforov-Uvarov method is employed to calculate the Schrödinger equation with a rotation Morse potential. The bound state energy eigenvalues and the corresponding eigenfunction are obtained. All of these calculations present an effective and clear method under a Pekeris approximation to solve a rotation Morse model. Meanwhile the results got here are in a good agreement with ones before. P...

For Hill’s equations with matrix valued periodic potential, we discuss relations between the Morse index, counting the number of unstable eigenvalues, and the Maslov index, counting the number of signed intersections of a path in the space of Lagrangian planes with a fixed plane. We adapt to the one dimensional periodic setting the strategy of a recent paper by J. Deng and C. Jones relating the...

Two-body interatomic potentials in the Morse potential form have been developed for bismuth telluride, and the potentials are used in molecular dynamics simulations to predict the thermal conductivity. The densityfunctional theory with local-density approximations is first used to calculate the total energies for many artificially distorted Bi2Te3 configurations to produce the energy surface. T...

Bond-Order Conservation-Morse Potential (BOC-MP) method is used to carry out the calculationon the CO2+ H20 system. One of the best catalysts for methanol synthesis in catalytic reductionof CO2 with H2O is Cu/ZnO/A1203 whose surface is supported by with some amount of Pd orGa. Reduction of CO2 with H20 on Cu will result in methanol formation; while on Ni will lead tomethane formation. In the me...

We do not think that the relativistic Morse potential problem has been correctly formulated and solved by A. D. Alhaidari. Key-words: Dirac equation; Dirac-Morse problem; Exact solution. PACS numbers: 03.65.Pm 03.65.Ge ∗To be submitted for publication in Phys. Rev. Lett. †Permanent address: Departamento de Ciências Exatas e da Natureza, Universidade Federal da Paráıba, Cajazeiras PB, 58.900-000...

We examine the behavior of a model which describes the melting of double-stranded DNA chains. The model, with displacement-dependent stiffness constants and a Morse on-site potential, is analyzed numerically; depending on the stiffness parameter, it is shown to have either (i) a second-order transition with nu( perpendicular) = -beta = 1,nu(||) = gamma/2 = 2 (characteristic of short-range attra...

We present a phenomenological dynamical model describing the force induced melting as responsible for the DNA overstretching transition. The denaturation mechanism is developed under the framework of the mesoscopic one-dimensional Peyrard-Bishop-Dauxois (PBD) picture which models the melting features of a polymer chain by means of a Morse potential and the stacking interaction. We find a good a...