Back to Search
Start Over
Bogoliubov Hamiltonian as Derivative of Dirac Hamiltonian via Braid Relation
- Publication Year :
- 2007
-
Abstract
- In this paper we discuss a new type of 4-dimensional representation of the braid group. The matrices of braid operations are constructed by q-deformation of Hamiltonians. One is the Dirac Hamiltonian for free electron with mass m, the other, which we find, is related to the Bogoliubov Hamiltonian for quasiparticles in $^3$He-B with the same free energy and mass being m/2. In the process, we choose the free q-deformation parameter as a special value in order to be consistent with the anyon description for fractional quantum Hall effect with $\nu = 1/2$.<br />Comment: 3 pages, 5 figures
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0711.3260
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevA.77.064101