The energy level ordering in two-electron quantum dot spectra

The effects of pressure and temperature on the exchange energy of a parabolic quantum dot under a magnetic field

“…Different approaches have been used to study the electronic and thermodynamic properties of the quantum dot. Theoretically, many authors have solved the two-electron QD Hamiltonian, including the effect of an applied magnetic field, to obtain the eigenenergies and eigenstates of the QD system [6][7][8][9][10][11][12][13][14][15][16][17][18][19]. The results of these studies predicted the oscillations between spin-singlet (S) and spin-triplet (T) ground states.…”

The magnetic properties of a quantum dot in a magnetic field

“…Kandemir [10,11] found the closed-form solution for this QD Hamiltonian and the corresponding eigenstates for particular values of the magnetic field strength and confinement frequencies. Elsaid [12][13][14][15][16] solved the QD Hamiltonian by the dimensional expansion technique, obtained the energies of the two interacting electrons for any arbitrary ratio of Coulomb to confinement energies, and gave an explanation for the level crossings. [17] used the diagonalization method to obtain the eigenenergies of interacting * Correspondence: mkelsaid@najah.edu electrons in a magnetic field and show the transitions in the angular momentum of the ground states.…”

The Energy Spectra and Heat Capacity of GaAs Gaussian Quantum Dot in an External Magnetic Field

“…The general closed-form for parabolic QD solution was obtained by . Elsaid solved the quantum dot Hamiltonian for two interacting electrons using 1/N method (13)(14). In Reference (15), the authors used the multi-parameter variational method to find the energy spectra for two interacting electrons in QD.…”