Fermions near two-dimensional surfaces
- 1 September 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 48 (3) , 1861-1868
- https://doi.org/10.1103/physreva.48.1861
Abstract
We review work on constrained systems in which (3+1)-dimensional field theories are reduced to effective (2+1)-dimensional ones. Known results are extended to encompass the Dirac equation and the nonrelativistic limit is examined. We discuss to what extent this system can really be made two dimensional and obtain a lower bound on the thickness. Some comments are made about recent theories involving fractional statistics.Keywords
This publication has 20 references indexed in Scilit:
- Quantum field theory on curved low-dimensional space embedded in three-dimensional spacePhysical Review A, 1993
- Physical relation between quantum mechanics and solitons on a thin elastic rodPhysical Review A, 1992
- Fractional Statistics and Anyon SuperconductivityPublished by World Scientific Pub Co Pte Ltd ,1990
- Large-limit of the Hubbard-Heisenberg modelPhysical Review B, 1989
- Aspects of Quantum Field Theory in Curved Space-TimePublished by Cambridge University Press (CUP) ,1989
- Spin and statistics in massive (2+1)-dimensional QEDPhysics Letters B, 1988
- Constraints in quantum mechanicsPhysical Review A, 1982
- Electronic properties of two-dimensional systemsReviews of Modern Physics, 1982
- Quantum mechanics of a constrained particlePhysical Review A, 1981
- Varieties of instability of a boson field in an external potentialPhysical Review D, 1976