@conference {482,
title = {Magnetic orbit to orbit interaction in a two-dimensional electron gas},
year = {2018},
month = {18{\textendash}19 June 2018},
pages = {P130},
publisher = {ASTHRDP Graduate Scholars{\textquoteright} Conference},
address = {PICC, Pasay City},
abstract = {The orbit to orbit magnetic interaction between electrons in a two-dimensional electron gas (2DEG) is considered. The orbit to orbit interaction is realized by constructing a Lorentz force law of a system of electrons accounting for both Coulomb electrostatic and Biot-Savart magnetostatic interactions, and external fields. From this, a generalized potential energy and Lagrangian is constructed. Using the calculated mechanical momentum, the effective Hamiltonian is expressed from the energy functon where a sufficient order of inverse speed of light is only considered. Using the Hartree approximation, the solution if the many-body Schr{\"o}dinger equation with this Hamiltonian is approximated with an effective single-particle Schr{\"o}dinger equation. From this the effective mean field Schr{\"o}dinger equation is calculated. We look into the effects of the magnetic orbit-to-orbit interactiong through several forms of effective field potential energies.},
author = {Daniel F. Marquez and Cristine D. Villagonzalo}
}