Landau Levels in the noncommutative AdS2
نویسندگان
چکیده
We formulate the Landau problem in the context of the noncommutative analog of a surface of constant negative curvature, that is AdS2 surface, and obtain the spectrum and contrast the same with the Landau levels one finds in the case of the commutative AdS2 space.
منابع مشابه
Noncommutative mechanics , Landau levels , twistors and Yang - Mills amplitudes
These lectures fall into two distinct, although tenouously related, parts. The first part is about fuzzy and noncommutative spaces, and particle mechanics on such spaces, in other words, noncommutative mechanics. The second part is a discussion/review of twistors and how they can be used in the calculation of Yang-Mills amplitudes. The point of connection between these two topics, discussed in ...
متن کاملOpen Strings on AdS2 Branes
We study the spectrum of open strings on AdS2 branes in AdS3 in an NS-NS background, using the SL(2, R) WZW model. When the brane carries no fundamental string charge, the open string spectrum is the holomorphic square root of the spectrum of closed strings in AdS3. It contains short and long strings, and is invariant under spectral flow. When the brane carries fundamental string charge, the op...
متن کاملPhysical Observables for Noncommutative Landau Levels
The Quantum Mechanics of a point particle on a Noncommutative Plane in a magnetic field is implemented in the present work as a deformation of the algebra which defines the Landau levels. I show how to define, in this deformed Quantum Mechanics, the physical observables, like the density correlation functions and Green function, on the completely filled ground level. Also it will be shown that ...
متن کاملQuantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels
We have studied a quantum dot with Rashba spin orbit interaction on a plane where the position and momentum coordinates are considered to be noncommutative. The energy spectrum of the system is found to be equivalent to that of a quantum dot with Rashba spin-orbit interaction in a magnetic field under certain conditions.
متن کاملNondecoupling phenomena in QED in a magnetic field and noncommutative QED
The dynamics in QED in a strong constant magnetic field and its connection with the noncommutative QED are studied. It is shown that in the regime with the lowest Landau level (LLL) dominance the U(1) gauge symmetry in the fermion determinant is transformed into the noncommutative U(1)nc gauge symmetry. In this regime, the effective action is intimately connected with that in noncommutative QED...
متن کامل