The Experts below are selected from a list of 186 Experts worldwide ranked by ideXlab platform

Allan H Macdonald - One of the best experts on this subject based on the ideXlab platform.

  • Fractional-quantum-Hall edge electrons and fermi statistics
    Physical Review B, 2003
    Co-Authors: Ulrich Zülicke, Juan Jose Palacios, Allan H Macdonald
    Abstract:

    We address the quantum statistics of electrons created in the low-energy edge-state Hilbert space sector of incompressible fractional-quantum-Hall states, considering the possibility that they may not satisfy Fermi statistics. We argue that this property is not a priori obvious, and present numerical evidence based on finite-size exact-diagonalization calculations that it does not hold in general. We discuss different possible forms for the expression for the electron creation operator in terms of edge Boson Fields and show that none are consistent with our numerical results on finite-size $\ensuremath{\nu}=2/5$ states with short-range electron-electron interactions. Finally, we discuss the current body of experimental results on tunneling into quantum-Hall edges in the context of this result.

Ulrich Zülicke - One of the best experts on this subject based on the ideXlab platform.

  • Fractional-quantum-Hall edge electrons and fermi statistics
    Physical Review B, 2003
    Co-Authors: Ulrich Zülicke, Juan Jose Palacios, Allan H Macdonald
    Abstract:

    We address the quantum statistics of electrons created in the low-energy edge-state Hilbert space sector of incompressible fractional-quantum-Hall states, considering the possibility that they may not satisfy Fermi statistics. We argue that this property is not a priori obvious, and present numerical evidence based on finite-size exact-diagonalization calculations that it does not hold in general. We discuss different possible forms for the expression for the electron creation operator in terms of edge Boson Fields and show that none are consistent with our numerical results on finite-size $\ensuremath{\nu}=2/5$ states with short-range electron-electron interactions. Finally, we discuss the current body of experimental results on tunneling into quantum-Hall edges in the context of this result.

Juan Jose Palacios - One of the best experts on this subject based on the ideXlab platform.

  • Fractional-quantum-Hall edge electrons and fermi statistics
    Physical Review B, 2003
    Co-Authors: Ulrich Zülicke, Juan Jose Palacios, Allan H Macdonald
    Abstract:

    We address the quantum statistics of electrons created in the low-energy edge-state Hilbert space sector of incompressible fractional-quantum-Hall states, considering the possibility that they may not satisfy Fermi statistics. We argue that this property is not a priori obvious, and present numerical evidence based on finite-size exact-diagonalization calculations that it does not hold in general. We discuss different possible forms for the expression for the electron creation operator in terms of edge Boson Fields and show that none are consistent with our numerical results on finite-size $\ensuremath{\nu}=2/5$ states with short-range electron-electron interactions. Finally, we discuss the current body of experimental results on tunneling into quantum-Hall edges in the context of this result.

Zhengfang Zhou - One of the best experts on this subject based on the ideXlab platform.

  • Singular operators on Boson Fields as forms on spaces of entire functions on Hilbert space
    Journal of Functional Analysis, 1991
    Co-Authors: S.m Paneitz, J Pedersen, Irving E. Segal, Zhengfang Zhou
    Abstract:

    Abstract Invariant scales of entire analytic functions on Hilbert space are introduced and applied. Singular operators represented by sesquilinear forms on spaces of regular vectors are given explicit integral representations via kernels that are entire functions on the direct sum of the Hilbert space with its dual. The Weyl (or, exponentiated Boson field) operators act smoothly and irreducibly on corresponding spaces of entire functions. Arbitrary symplectic operators on a single-particle Hilbert space are shown to be implementable on the corresponding Boson field by appropriate generalized operators.

Gabriel Murariu - One of the best experts on this subject based on the ideXlab platform.

  • perturbative approaching for Boson Fields system in a lewis papapetrou space time
    American Institute of Physics Conference Series, 2010
    Co-Authors: Gabriel Murariu, Marina-aura Dariescu, Ciprian Dariescu
    Abstract:

    In this paper the first order solutions of a Klein—Gordon—Maxwell—Einstein coupled system equations were derived for Boson Fields in a Lewis Papapetrou space time. The results expand the previous static solutions obtained in literature. A main goal is represented by the symbolic script built for such approach.

  • Perturbative Approaching for Boson Fields’ System in a Lewis‐Papapetrou Space‐Time
    2010
    Co-Authors: Gabriel Murariu, Marina-aura Dariescu, Ciprian Dariescu
    Abstract:

    In this paper the first order solutions of a Klein—Gordon—Maxwell—Einstein coupled system equations were derived for Boson Fields in a Lewis Papapetrou space time. The results expand the previous static solutions obtained in literature. A main goal is represented by the symbolic script built for such approach.

  • MAPLE Procedures For Boson Fields System On Curved Space - Time
    AIP Conference Proceedings, 2007
    Co-Authors: Gabriel Murariu
    Abstract:

    Systems of interacting Boson Fields are an important subject in the last years. From the problem of dark matter to Boson stars’ study, Boson Fields are involved. In the general configuration, it is considered a Klein‐Gordon‐Maxwell‐Einstein Fields system for a complex scalar field minimally coupled to a gravitational one. The necessity of studying a larger number of space‐time configurations and the huge volume of computations for each particular situation are some reasons for building a MAPLE procedures set for this kind of systems.