@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} }