Modulation of the spin-orbit interaction and the transition probability of polaron in disk quantum dot under electromagnetic field

Effects of size on the spectrum and stability of a confined on-center Hydrogen atom

“…This equation is solved by using both the regularity and normalization conditions to initialize the recursion. The values of the c tj coefficients A c c e p t e d M a n u s c r i p t are also calculated by employing the three term recursion relationship obtained by substituting the proposed solution, (6), into the radial Schödinger equation, (4). The recursion is initialized at any given r t value by using the solution at r t−1 and applying the condition of the continuity of the radial function and its first derivative.…”

“…An extensive list of examples can be found, for instance, in [1][2][3][4] and the references therein. Some of these applications extend from fields such as optoelectronics [5][6][7][8][9][10][11] and the design of nonlinear optical (NLO) materials [12] or, plasma Physics [13][14][15], to the development of qubits for quantum computing [16], or photovoltaics [17][18][19][20], where artificial photosynthesis has been the focus of several works [21,22]. Hydrogen storage and transportation also deserve special mention, both of which have attracted particular attention owing to the use of this gas as an effective, eco-friendly and clean alternative to fossil fuels [23][24][25].…”

Confined orbitals in fullerenes and quantum dots calculated by analytic continuation method

“…In 2000, Adamowski et al [7] considered the Gaussian potential to study two electrons confined in quantum dots (QD) in a variational approach while Ciurla et al [1] applied a finite-difference numerical method with the a e-mail: fa1sarua@uco.es higher-order approximation of the Laplacian described in Chelikowsky et al [8], showing that the attractive Gaussian potential was more suitable to describe QD than previously used potentials as square-well or parabolic ones. Thus, in the last years, many works used the Gaussian potential to investigate the electronic structure of QD and their properties [9][10][11][12]. Also, a Gaussian potential has been used to model other confined systems as a C 60 fullerene [13].…”

Exact Solutions for a Quantum Ring with a Dipolar Impurity

“…If we consider that the donor impurity is not ionized, the dipole is the first term in this expansion since there is no Coulomb (monopolar) contribution in this case. Our choice here adds a new case to that of the usual Coulomb impurities [5,7,23,24,25,26,27,28].…”