Dual Models

Author(s):  
Magnus J. Wenninger
Keyword(s):  
2016 ◽  
Vol 31 (12) ◽  
pp. 1650070 ◽  
Author(s):  
G. B. de Gracia ◽  
G. P. de Brito

Following a procedure recently utilized by Accioly et al. to obtain the D-dimensional interparticle potential energy for electromagnetic models in the nonrelativistic limit, and relaxing the condition assumed by the authors concerning the conservation of the external current, the prescription found out by them is generalized so that dual models can also be contemplated. Specific models in which the interaction is mediated by a spin-0 particle described first by a vector field and then by a higher-derivative vector field, are analyzed. Systems mediated by spin-1 particles described, respectively, by symmetric rank-2 tensors, symmetric rank-2 tensors augmented by higher derivatives and antisymmetric rank-2 tensors, are considered as well.


2001 ◽  
Vol 16 (24) ◽  
pp. 3967-3988 ◽  
Author(s):  
RABIN BANERJEE ◽  
BISWAJIT CHAKRABORTY ◽  
TOMY SCARIA

We establish the equivalence of the Maxwell–Chern–Simons–Proca model to a doublet of Maxwell–Chern–Simons models defined in a variety of covariant gauges. This equivalence is shown to hold at the level of polarization vectors of the basic fields. The analysis is done in both Lagrangian and Hamiltonian formalisms and compatible results are obtained. A similar equivalence with a doublet of self and anti-self dual models is briefly discussed.


1971 ◽  
Vol 3 (3) ◽  
pp. 763-765 ◽  
Author(s):  
P. H. Frampton
Keyword(s):  

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Shuai Chen ◽  
Runwu Zhong ◽  
Xiaohui Liu ◽  
Ahmed Alsaedi

This paper proposes a twice rapid transfer alignment algorithm based on dual models in order to solve the problems such as long convergence time, poor accuracy, and heavy computation burden resulting from the traditional nonlinear error models. The quaternion matching method based on quaternion error model along with the extended Kalman filter (EKF) is applied to deal with the large misalignment in the first phase. Then in the second transfer alignment phase, velocity plus attitude matching method as well as classical Kalman filter is adopted. The simulation and the results of vehicle tests demonstrate that this method combines the advantages of both nonlinear and linear error models with the guarantee of accuracy and fastness.


2020 ◽  
Author(s):  
Minjie Chen ◽  
Charles Sullivan

<div> <p>Circuit models for multiphase coupled inductors are summarized, compared, and unified. Multiwinding magnetic structures are classified into parallel-coupled structures and series-coupled structures. For parallel-coupled structures used for multiphase inductors, the relationships between a) inductance matrix models, b) extended cantilever models, c) magnetic circuit models, d) multiwinding transformer models, e) gyrator-capacitor models, and f) inductance dual models are examined and discussed. These models represent identical physical relationships in the multiphase coupled inductors, but emphasize different physical aspects and offer distinct design insights. The circuit duality between the series coupled structure and the parallel coupled structure is explored. Design equations arising from these models are streamlined and summarized, and a simplified equation showing the relationships between current ripple for interleaved multiphase buck converters with and without coupling is presented. The models and design equations are verified through theoretical derivation, SPICE simulation, and experimental measurements. <br></p></div>


2019 ◽  
Vol 100 (14) ◽  
Author(s):  
David A. S. Kaib ◽  
Stephen M. Winter ◽  
Roser Valentí

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