Order Correction

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Soo-jong Rey - One of the best experts on this subject based on the ideXlab platform.

  • Absorption and Recoil of Fundamental String by D-String
    Nuclear Physics B, 1997
    Co-Authors: Sangmin Lee, Soo-jong Rey
    Abstract:

    Inclusive absorption cross section of fundamental IIB string to D-string is calculated perturbatively. The leading Order result agrees with estimate based on stringy Higgs mechanism via Cremmer-Scherk coupling. It is argued that the subleading Order Correction is dominated by purely planar diagrams in the large mass limit. The Correction represents conversion of binding energy into local recoil process of the fundamental string and D-string bound state. We show their presence explicitly in the next leading Order.

D. Weinmann - One of the best experts on this subject based on the ideXlab platform.

  • Theory of scanning gate microscopy
    Physical Review B: Condensed Matter and Materials Physics, 2013
    Co-Authors: C. Gorini, R. A. Jalabert, W. Szewc, S. Tomsovic, D. Weinmann
    Abstract:

    A systematic theory of the conductance measurements of non-invasive scanning gate microscopy is presented that provides an interpretation of what precisely is being measured. A scattering approach is used to derive explicit expressions for the first and second Order conductance changes due to the perturbation by the tip potential in terms of the scattering states of the unperturbed structure. In the case of a quantum point contact, the first Order Correction dominates at the conductance steps and vanishes on the plateaus where the second Order term dominates. Both Corrections are non-local for a generic structure. Only in special cases, such as that of a centrally symmetric quantum point contact in the conductance quantization regime, can the second Order Correction be unambiguously related with the local current density. In the case of an abrupt quantum point contact we are able to obtain analytic expressions for the scattering eigenfunctions and thus evaluate the resulting conductance Corrections.

Guibin Chen - One of the best experts on this subject based on the ideXlab platform.

  • Dynamics of an optomechanical system with quadratic coupling: Effect of first Order Correction to adiabatic elimination.
    Scientific reports, 2016
    Co-Authors: Cheng Jiang, Yuanshun Cui, Guibin Chen
    Abstract:

    We explore theoretically the dynamics of an optomechanical system in which a resonantly driven cavity mode is quadratically coupled to the displacement of a mechanical resonator. Considering the first Order Correction to adiabatic elimination, we obtain the analytical expression of optomechanical damping rate which is negative and depends on the position of the mechanical resonator. After comparing the numerical results between the full simulation of Langevin equations, adiabatic elimination, and first Order Correction to adiabatic elimination, we explain the dynamics of the system in terms of overall mechanical potential and optomechanical damping rate. The antidamping induced by radiation pressure can result in self-sustained oscillation of the mechanical resonator. Finally, we discuss the time evolution of the intracavity photon number, which also shows that the effect of first Order Correction cannot be neglected when the ratio of the cavity decay rate to the mechanical resonance frequency becomes smaller than a critical value.

J. Mohring - One of the best experts on this subject based on the ideXlab platform.

  • A THIRD Order Correction TO THE HELMHOLTZ EQUATION
    Mathematical Modelling and Analysis, 2010
    Co-Authors: J. Jegorovs, J. Mohring
    Abstract:

    Abstract In this work we derive a third Order Correction to the classical Helmholtz equation. Starting from non‐linear Euler equations and using asymptotical analysis we get a decoupled system of linear, Helmholtz type equations, which are written in terms of the acoustical pressure functions. We present also a rather simple concept of the boundary conditions. Also numerical results and accompanying difficulties are discussed and presented.

  • A THIRD Order Correction TO THE HELMHOLTZ EQUATION
    Mathematical Modelling and Analysis, 2005
    Co-Authors: J. Jegorovs, J. Mohring
    Abstract:

    In this work we derive a third Order Correction to the classical Helmholtz equation. Starting from non-linear Euler equations and using asymptotical analysis we get a decoupled system of linear, Helmholtz type equations, which are written in terms of the acoustical pressure functions. We present also a rather simple concept of the boundary conditions. Also numerical results and accompanying difficulties are discussed and presented. Remiantis Oilerio lygtimis ir asimptotine analize gautas Helmholco lygties trečiosios eiles patikslinimas. Akustiniam slegiui gauta Helmholco tipo lygtis bei jai išvestos salygos. Pateikti skaitinio modeliavimo rezultatai.

Sangmin Lee - One of the best experts on this subject based on the ideXlab platform.

  • Absorption and Recoil of Fundamental String by D-String
    Nuclear Physics B, 1997
    Co-Authors: Sangmin Lee, Soo-jong Rey
    Abstract:

    Inclusive absorption cross section of fundamental IIB string to D-string is calculated perturbatively. The leading Order result agrees with estimate based on stringy Higgs mechanism via Cremmer-Scherk coupling. It is argued that the subleading Order Correction is dominated by purely planar diagrams in the large mass limit. The Correction represents conversion of binding energy into local recoil process of the fundamental string and D-string bound state. We show their presence explicitly in the next leading Order.