potential model
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Author(s):  
Facundo Villavicencio ◽  
Jorge Mario Ferreyra ◽  
German Bridoux ◽  
Manuel Villafuerte

Abstract We propose a simple but unexplored model for the semiconductor band bending with the aim to obtain a relatively simple expression to calculate the energy spectrum for the confined levels and the analytical expressions for wave-functions. This model consists of a linear potential but it is bounded or trimmed in energy unlike the well known wedge potential model. We present exact solutions for this potential in the frame of the effective mass approximation and they are valid for electron or hole confinement potential. This model provides a more adequate physical scenario than the wedge potential since it takes into account the charge balance involved in the band bending potential. These results allow to treat confined potential problems as in the case of a two-dimensional electron gas (2DEG) in a simplified way. We discuss the application of this approximation to the recombination time of electrons an holes and for the Franz-Keldysh effect.


Author(s):  
Abdul Kabir ◽  
Jameel-Un Nabi

Abstract Radiative capture p+9Be → 10B+γ at energies bearing astrophysical importance is a key process for the spectroscopic study of 10B. In this work, we consider the radiative capture cross-section for the 9Be(p, γ)10B within the framework of the potential model and the R-matrix method for the multi-entrance channel cases. In certain cases, when the potential fails, therefore, the R-matrix approach is better to use for the description of partial components of the cross-section that have sharp or broad resonances. For all possible electric and magnetic dipole transitions, partial components of the astrophysical S-factor are computed. The computed value of the total S-factor at zero energy is consistent with the reported results.


Author(s):  
Chris John ◽  
Rotti Srinivasamurthy Swathi

Development of empirical potentials with accurate parameterization is indispensable while modeling large-scale systems. Herein, we report accurate parameterization of an anisotropic dressed pairwise potential model (PPM) for probing the adsorption...


Author(s):  
Tasawer Shahzad Ahmad ◽  
Talab Hussain ◽  
M. Atif Sultan

In this paper, a non-relativistic potential model is used to find the solution of radial Schrodinger wave equation by using Crank Nicolson discretization for heavy quarkonia ( ̅, ̅). After solving the Schrodinger radial wave equation, the mass spectrum and hyperfine splitting of heavy quarkonia are calculated with and without relativistic corrections. The root means square radii and decay constants for S and P states of c ̅ and ̅ mesons by using the realistic and simple harmonic oscillator wave functions. The calculated results of mass, hyperfine splitting, root means square radii and decay constants agreed with experimental and theoretically calculated results in the literature.


2021 ◽  
Author(s):  
De-Xing Zhu ◽  
Hong-Ming Liu ◽  
Yang-Yang Xu ◽  
You-Tian Zou ◽  
Xi-Jun Wu ◽  
...  

Abstract In the present work, considering the preformation probability of the emitted two protons in the parent nucleus, we extend the Coulomb and proximity potential model (CPPM) to systematically study two-proton (2p) radioactivity half-lives of the nuclei close to proton drip line, while the proximity potential is chosen as Prox.81 proposed by Blocki et al. in 1981. Furthermore, we apply this model to predict the half-lives of possible 2p radioactive candidates whose 2p radioactivity is energetically allowed or observed but not yet quantified in the evaluated nuclear properties table NUBASE2016. The predicted results are in good agreement with those from other theoretical models and empirical formulas, namely the effective liquid drop model (ELDM), generalized liquid drop model (GLDM), Gamow-like model, Sreeja formula and Liu formula.


2021 ◽  
Vol 3 (6) ◽  
pp. 76-83
Author(s):  
E. A. Thompson ◽  
I. O. Akpan ◽  
C. A. Thompson

In this study, we solve the non-relativistic radial part of the Schrödinger wave equation for the superposition of the Hulthen with spin-orbit plus adjusted Coulomb potential (SHSC) potential using the Nikiforov-Uvarov (NU) method for arbitrary states. The Hulthen with spin-orbit plus adjusted Coulomb (SHSC) potential is the simplest potential field for a nuclear system and has been used to obtain the single particle energy spectrum for both nucleon species orbiting a closed nuclear core. We also obtained in this study the corresponding single particle normalized wave function expressed in terms of the Jacobi polynomial. Besides, we obtained two special cases of the energy spectra for the SHSC potential.


2021 ◽  
pp. 76-96
Author(s):  
Andrew Harding ◽  
Rawin Leelapatana

In this article we examine radical proposals for political, administrative and fiscal decentralisation in Thailand which were developed for Chiang Mai as a potential model for Thailand as a whole. They lay emphasis on local self-government and citizen participation. We argue that these proposals offer a way forward for a Thai decentralisation process that has yet to proceed to the extent envisaged when it was commenced in the 1990s as part of democratisation, embraced most notably in the 1997 Constitution. Moreover, this process, we argue, offers a way out of the extreme confrontation between the yellow and red factions that has troubled Thailand since 2005. As Thailand returns to civilian rule after five years of military government, and local and provincial government comes once more to the fore, we argue that the Chiang Mai Metropolitan Administration Bill of 2013 offer more local democracy as well as imaginative ways of recruiting the enthusiasm of local stakeholders in a system designed to link provincial and local authorities, and the citizenry, in a virtuous circle of democracy and development.


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