Two-dimensional magnetoexcitons: a shifted 1/N approach

Abstract

The energy spectrum of twodimensional magnetoexcirons has been calculated using the shined IIN expansion melhod (N the space dimension). It is found that even in the leadingterm approximation this approach provides remarkably accurate and simple analytic expressions For the magnetoexiton energies for any magnetic field strength and electron-hole mass d o . For the infinite-hole-mass exciton (hydmgenic impurity) our results show an excellen1 agreement with previously reported numerical data in the whole magnetic field range. Higher terms in the expansion which allow a systematic improvement of lowenergy values m also considered.

2D H-Atom in an Arbitrary Magnetic Field via Pseudoperturbation Expansions Through the Quantum Number l

“…Mustafa [5] and Quiroga et al [7] have used the shifted N -expansion technique (SLNT) and their results were in good agreements with those of Martin et al [10].…”

Quasi-relativistic harmonic oscillator bound states

“…Excitons in harmonic QD [17]. Hydrogenic impurity or heavy excitons in arbitrary magnetic field [18,19], · · · etc.…”

The Ground State Electronic Properties of Two Electron Quantum Dot in External Magnetic and Electric Fields

“…The method is simple, and it gives accurate results of energy eigenvalues calculations of the system without dealing with robust numerical calculations or trail wave functions. The shifted 1/N-expansion method has already been used to study various systems, such as two-dimensional magnetoexcitons (Quiroga, Camacho, & Gonzalez, 1995), shallow donor impurities (El-Said, 1994), two-electron spherical quantum dot (Pino & Villalba, 2001), two interacting electrons in two dimensional quantum dot with the presence of magnetic field (El-Said, 2000;Gomez & Romero, 2009). And recently, we have used the method to calculate energies and binding energies for quantum dot with Gaussian potential confinement (Al-Hayek & Sandouqa, 2015), the results show a very good agreement with other computational methods like asymptotic integration method (AIM) and exact diagonalization method.…”