Modeling a Quantum Hall System via Elliptic Equations
Quantum Hall systems are a suitable theme for a case study in the general area of nanotechnology. In particular, it is a good framework to search for universal principles relevant to nanosystem modeling and nanosystem-specific signal processing. Recently, we have been able to construct a partial dif...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2009/514081 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Quantum Hall systems are a suitable theme for a case study in the general area of nanotechnology.
In particular, it is a good framework to search for universal principles relevant to
nanosystem modeling and nanosystem-specific signal processing. Recently, we have been able
to construct a partial differential equations-based model of a quantum Hall system, which
consists of the Schrödinger equation supplemented with a special-type nonlinear feedback
loop. This result stems from a novel theoretical approach, which in particular brings to
the fore the notion of quantum information. Here we undertake to modify the original model by
substituting the dynamics based on the Dirac operator. This leads to a model that consists
of a system of three nonlinearly coupled first-order elliptic equations in the plane. |
|---|---|
| ISSN: | 1687-9120 1687-9139 |