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Ward identities under the frame transformations in curved space-time
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作者 Susobhan Mandal 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第9期107-117,共11页
Scalar-tensor theories of gravity are considered to be competitors to Einstein's theory of general relativity for the description of classical gravity,as they are used to build feasible models for cosmic inflation... Scalar-tensor theories of gravity are considered to be competitors to Einstein's theory of general relativity for the description of classical gravity,as they are used to build feasible models for cosmic inflation.These theories can be formulated both in the Jordan and Einstein frame,which are related by a Weyl transformation with a field transformation,known together as a frame transformation.These theories formulated in the above two frames are often considered to be equivalent from the point of view of classical theory.However,this is no longer true from the quantum field theoretical perspective.In the present article,we show that the Ward identities derived in the above two frames are not connected through the frame transformation.This shows that the quantum field theories formulated in these two frames are not equivalent to each other.Moreover,this inequivalence is also shown by comparing the effective actions derived in these two frames. 展开更多
关键词 ward identities frame transformations curved spacetime
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The Incompatibinty between Lorentz Transformations and the Inertial Frame of Reference
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《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1994年第1期77-81,共5页
TheIncompatibintybetweenLorentzTransformationsandtheInertialFrameofReferenceG.Gabed,InSI.OfPhysi's,Unly.COlO... TheIncompatibintybetweenLorentzTransformationsandtheInertialFrameofReferenceG.Gabed,InSI.OfPhysi's,Unly.COlOgneZulpl'cherSir.... 展开更多
关键词 The Incompatibinty between Lorentz transformations and the Inertial frame of
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Multisensor image fusion algorithm using nonseparable wavelet frame transform 被引量:1
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作者 Li Zhenhua Jing Zhongliang Wang Hong Sun Shaoyuan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第4期728-732,共5页
A muitisensor image fusion algorithm is described using 2-dimensional nonseparable wavelet frame (NWF) transform. The source muitisensor images are first decomposed by the NWF transform. Then, the NWF transform coef... A muitisensor image fusion algorithm is described using 2-dimensional nonseparable wavelet frame (NWF) transform. The source muitisensor images are first decomposed by the NWF transform. Then, the NWF transform coefficients of the source images are combined into the composite NWF transform coefficients. Inverse NWF transform is performed on the composite NWF transform coefficients in order to obtain the intermediate fused image. Finally, intensity adjustment is applied to the intermediate fused image in order to maintain the dynamic intensity range. Experiment resuits using real data show that the proposed algorithm works well in muitisensor image fusion. 展开更多
关键词 MULTISENSOR image fusion image processing nonseparable wavelet frame transform.
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Adaptive back-stepping control on container ships for path following 被引量:1
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作者 ZHAO Yang DONG Lili 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2020年第4期780-790,共11页
A feedback-dominance based adaptive back-stepping(FDBAB) controller is designed to drive a container ship to follow a predefined path. In reality, current, wave and wind act on the ship and produce unwanted disturbanc... A feedback-dominance based adaptive back-stepping(FDBAB) controller is designed to drive a container ship to follow a predefined path. In reality, current, wave and wind act on the ship and produce unwanted disturbances to the ship control system.The FDBAB controller has to compensate for such disturbances and steer the ship to track the predefined(or desired) path. The difference between the actual and the desired path along which the ship is to sail is defined as the tracking error. The FDBAB controller is built on the tracking error model which is developed based on Serret-Frenet frame transformation(SFFT). In additional to being affected by external disturbances, the ship has more outputs than inputs(under-actuated), and is inherently nonlinear.The back-stepping controller in FDBAB is used to compensate the nonlinearity. The adaptive algorithms in FDBAB is employed to approximate disturbances. Lyapunov's direct method is used to prove the stability of the control system. The FDBAB controlled system is implemented in Matlab/Simulink. The simulation results verify the effectiveness of the controller in terms of successful path tracking and disturbance rejection. 展开更多
关键词 under-actuated NONLINEAR environmental disturbance path following Serret-Frenet frame transformation(SFFT) ship steering
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