We propose an alternative way to describe the pairing formation and breaking via a quantum anharmonic oscillator with a delta-function potential model. Unlike BCS theory, which describes the pairing formation in the momentum space, this model works in the coordinate space and is able to give a molecular view of pairing formation and breaking in the coordinate space. By exploring the dynamical interplay between the intrinsic factor (dissociation energy) and external factor (pairing strength) of this system additional information was gained, including the critical pairing strength and critical scattering length, which might relate to the BCS–BEC crossover phenomena and halo state formation. Although only the energetic aspect of pairing is described by this model, its simplicity and pedagogical steps might help undergraduate students to understand the pairing problem in a simple way.
<span>Hydroxyapatite Ca<span>10<span>(PO<span>4<span>)<span>6<span>(OH)<span>2 <span>is a calcium phosphate compound having biocompatibility <span>properties. FTIR (Fourier Transform Infrared Spectroscopy) was used to determine the <span>characteristics of the hydroxyapatite group. Modeling the functional groups of hydroxyapatite <span>can be used to obtain vibrational frequencies and spring constants. Analysis of energy release <span>function is performed by calculating the dissociation energy. In this paper will be shown the <span>results of theoretical modeling of hydroxyl and phosphate using spring models. Modeling the <span>functional groups OH<span>- <span>obtained spring constant 524,4559 N/m and the absorption wave number <span>3497,5677 cm<span>-1<span>. Modelling functional groups PO<span>43-<span>obtained spring constant 612,2704 N/m <span>and the wave number 1085,2559 cm<span>-1 <span>absorption. The constant and absorption wave numbers <span>obtained are used to calculate the dissociation energy. OH<span>- <span>dissociation energy obtained by <span>566,5637 kJ/mol and the dissociation energy of PO<span>43- <span>is 567,6248 kJ/mol. Absorption wave <span>numbers are obtained in accordance with experimental results on sometrik stretch modes, and <span>the dissociation energy derived functional group is also close to the value of literature.</span></span></span></span></span></span></span></span></span></span></span></span><br /></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span>
In this short paper we clarify and answer some issues addressed by Fernandez in his comment paper. Firstly, regarding the citation issue and secondly the technical issue regarding the analytical result of the quantum anharmonic oscillator with a delta potential.
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