We propose a method, based on a Generalized Heisenberg Algebra (GHA), to reproduce the anharmonic spectrum of diatomic molecules. The theoretical spectrum generated by GHA allows us to fit the experimental data and to obtain the dissociation energy for the carbon monoxide molecule. Our outcomes are more accurate than the standard models used to study molecular vibrations, namely the Morse and the q-oscillator models and comparable to the perturbed Morse model proposed by Huffaker [1], for the first experimental levels. The dissociation energy obtained here is more accurate than all previous models.
We have constructed deformed scalar quantum electrodynamics where the scalar bosons are created and/or annihilated by the step operators of a generalized Heisenberg algebra and the photons are described in a standard way. One parameter, η, was introduced in those terms of the interaction Hamiltonian which have derivatives. We have computed the scattering process q-boson + photon →q-boson + photon up to second order in the coupling constant. We have found that the parameter, η, introduced is essential to preserve Lorentz and gauge invariance at the quantum level. We compare the cross-section for the scattering 2γ → q-boson +q-boson with the experimental data for 2γ → π+ + π−, where π± are the charged pions, obtaining good agreement in the region 0.55–0.7 GeV.
An effective interatomic potential consisting of two- and three-body covalent interactions is used here to study the properties of gallium phosphide by molecular dynamics simulations. The many-body interatomic potential accounts for the energy scale, length scale and mechanical properties of GaP. At atmospheric pressure, the calculated melting temperature, linear thermal expansion, vibrational density of states and specific heat are in excellent agreement with experimental results. The structural phase transition induced by hydrostatic pressure at 27 GPa is also in quite good agreement with experimental findings. We also studied the energy of vacancy formation in the GaP lattice and the surface energy, which is in reasonable agreement with experimental data.
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