منابع مشابه
A Relativistic Quaternionic Wave Equation
We study a one-component quaternionic wave equation which is relativistically covariant. Bi-linear forms include a conserved 4-current and an antisymmetric second rank tensor. Waves propagate within the light-cone and there is a conserved quantity which looks like helicity. The principle of superposition is retained in a slightly altered manner. External potentials can be introduced in a way th...
متن کاملRelativistic Quaternionic Wave Equation II
Further results are reported for the one-component quaternionic wave equation recently introduced. A Lagrangian is found for the momentum-space version of the free equation; and another, nonlocal in time, is found for the complete equation. Further study of multiparticle systems has us looking into the mathematics of tensor products of Hilbert spaces. The principles of linearity and superpositi...
متن کاملNon-relativistic anyons and exotic Galilean symmetry
The model invariant with respect to the two-fold centrally extended Galilei group proposed by Lukierski et al. can be decomposed into an infinite number of independent copies (differing in their spin) of the “exotic” particle of Duval et al. Interpreted as describing a non-relativistic anyon, this model is the non-relativistic limit of a particle with torsion related to relativistic anyons. As ...
متن کاملThe Relativistic Hermite Polynomials and the Wave Equation
Solutions of the homogeneous 2D scalar wave equation of a type reminiscent of the “splash pulse” waveform are investigated in some detail. In particular, it is shown that the “higher-order” solutions relative to a given “fundamental” one, from which they are obtained through a definite “generation scheme”, come to involve the relativistic Hermite polynomials. This parallels the results of a pre...
متن کاملNon-relativistic anyons, exotic Galilean symmetry and noncommutative plane
We show that the Lukierski et al. model, invariant with respect to the two-fold centrally extended Galilei group, can be decomposed into an infinite number of independent copies (differing in their spin) of the “exotic” particle of Duval et al. The difference between the two models is found to be sensitive to electromagnetic coupling. The nature of the noncommutative plane coordinates is discus...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1991
ISSN: 0556-2821
DOI: 10.1103/physrevd.43.1933