scholarly journals Double extension for commutative $n$-ary superalgebras with a skew-symmetric invariant form

2016 ◽  
Vol 110 ◽  
pp. 287-293
Author(s):  
Elizaveta Vishnyakova
Keyword(s):  
Invariant Form ◽  
Double Extension

scholarly journals PSEUDOCLASSICAL MODEL OF SPINNING PARTICLE WITH ANOMALOUS MAGNETIC MOMENTUM

1993 ◽  
Vol 08 (05) ◽  
pp. 463-468 ◽  
Author(s):  
D.M. GITMAN ◽  
A.V. SAA
Keyword(s):  
Electromagnetic Field ◽  
External Electromagnetic Field ◽  
Invariant Form ◽  
Pauli Equation ◽  
Spinning Particle ◽  
Dirac Quantization

A generalization of the pseudoclassical action of a spinning particle in the presence of an anomalous magnetic momentum is given. The action is written in reparametrization and supergauge invariant form. The Dirac quantization, based on the Hamiltonian analyzes of the model, leads to the Dirac-Pauli equation for a particle with an anomalous magnetic momentum in an external electromagnetic field. Due to the structure of first class constraints in that case, the Dirac quantization demands for consistency to take into account an operator’s ordering problem.

scholarly journals Existence of an invariant form under a linear map

2017 ◽  
Vol 48 (2) ◽  
pp. 211-220 ◽  
Author(s):  
Krishnendu Gongopadhyay ◽  
Sudip Mazumder
Keyword(s):  
Invariant Form ◽  
Linear Map

Utilizing the Effort/Motion Approach in the Simulation of Interconnected Rigid Body Systems

1997 ◽  
Author(s):  
N. Duke Perreira
Keyword(s):  
Numerical Simulation ◽  
Rigid Body ◽  
Multibody Systems ◽  
Invariant Form ◽  
Second Law ◽  
Orthogonal Projections ◽  
Gauge Invariant ◽  
Motion Equations ◽  
Newton's Second Law ◽  
Constraint Surface

Abstract The effort/motion approach has been developed for use in designing, simulating and controlling multibody systems. Some aspects of each of these topics are discussed here. In the effort/motion formulation two sets of equations based on the orthogonal projections of a dimensional gauge invariant form of Newton’s Second Law occur. The projections are onto the normal and tangent directions of a dimensional gauge invariant constraint surface. The paper shows how these equations are obtained for a particular linkage with redundant effort and motion actuation. Two alternative Runga-Kutta based approaches for numerical simulation of the effort/motion equations are developed and applied in simulating the motion and determining the effort generated in the example linkage under various conditions. Oscillation about equilibrium positions, solutions with constant motion and with constant effort are given as examples of the approach.

A Note on the Pure Bending of Unsymmetrical Prismatic Beams

1977 ◽  
Vol 44 (2) ◽  
pp. 344-345 ◽  
Author(s):  
V. K. Stokes
Keyword(s):  
Invariant Form ◽  
Pure Bending

It is shown that the equations governing the pure bending of unsymmetrical prismatic beams can be written in a coordinate-free invariant form.

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