@inproceedings {466,
	title = {An effective field analysis of magnetic orbit-to-orbit interactions in a two-dimensional electron gas},
	booktitle = {Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference},
	year = {2018},
	month = {6{\textendash}9 June 2018},
	pages = {SPP-2018-PB-14},
	address = {Puerto Princesa City, Philippines},
	abstract = {An effective field Schr{\"o}dinger equation accounting for the effect of the magnetic orbit-to-orbit interaction between electrons in a two-dimensional electron gas (2DEG) is considered. This is formulated out from the effective single-particle equation using the Hartree approximation. As a specific example, a 2DEG in a Hall bar with rectangular geometry is considered, where such equation is reduced to a one-dimensional Schr{\"o}dinger equation. The effect of constant and inverse position-dependent magnetic orbit-to-orbit interaction potentials to the energy levels of the 2DEG is calculated perturbatively.},
	url = {https://paperview.spp-online.org/proceedings/article/view/SPP-2018-PB-14},
	author = {Daniel F. Marquez and Cristine Villagonzalo}
}
@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 Villagonzalo}
}