Journal ArticleDOI
Group-theoretical analysis of elementary particles in an external electromagnetic field@@@Теоретико-групповой анализ элементарных частиц во внешнем электромагнитном поле.: I. The relativistic particle in a constant and uniform field@@@I. Релятивистская частица в постоянном и однородном поле
H. Bacry,Ph. Combe,J. L. Richard +2 more
- Vol. 67, Iss: 2, pp 267-299
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The article was published on 1970-05-01. It has received 161 citations till now. The article focuses on the topics: Relativistic particle & Electromagnetic field.read more
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Maxwell group and HS field theory
Sergey Fedoruk,Jerzy Lukierski +1 more
TL;DR: In this article, the master fields for HS multiplets defined on 10-dimensional tensorial extension were considered and a spinorial model with a pair of spinors was proposed to obtain new infinite HS-Maxwell multiplets with their massless components coupled to each other through constant EM background.
Journal ArticleDOI
Colourful Poincar\'e symmetry, gravity and particle actions
TL;DR: In this article, a generalisation of the three-dimensional Poincare algebra that also includes a colour symmetry factor is presented, which can be used to define coloured PoINCARE gravity in three space-time dimensions.
Journal ArticleDOI
Maxwell-modified metric affine gravity
Oktay Cebecioğlu,Salih Kibaroğlu +1 more
TL;DR: In this paper, an antisymmetric tensor generator belonging to the tensor representation of the special linear group is presented. But the generator is defined as a geometrical inflaton vector field which drives accelerated expansion.
Journal ArticleDOI
Invariant tensors for some maximal subgroups of the conformal group of space-time
J Beckers,M Jaminon,J Serpe +2 more
TL;DR: In this paper, the conditions of invariance for skew-symmetric tensors, four-potential tensors and four-vector tensors were investigated under SO(3)(X)SO(2,1), O(3,2) and O(2)O(4).
Journal ArticleDOI
Algebraic solution of the Klein-Gordon equation
H H Nickle,B L Beers +1 more
TL;DR: In this paper, an algebraic approach to the solution of the Klein-Gordon equation is described for the case of a charged particle in the presence of plane-wave electromagnetic radiation, and the solutions are shown to correspond to the spin zero mass m representation of the restricted Poincare group.
References
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Journal ArticleDOI
On Unitary Representations of the Inhomogeneous Lorentz Group
TL;DR: The superposition principle of the wave function is defined in this article, which is the fundamental principle of quantum mechanics that the system of states forms a linear manifold, in which a unitary scalar product is defined.
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On Unitary ray representations of continuous groups
TL;DR: In this article, the inner product of two rays is introduced, and the transition probability from a state f to a state g is (f, I)'2 where f, g are representatives of the rays f and g respectively.
Journal ArticleDOI
Galilei Group and Nonrelativistic Quantum Mechanics
TL;DR: In this article, the authors studied the Galilei group and its representations and showed that the behavior of an elementary system with respect to rotations is very similar to the relativistic case, and that the number of polarization states reduces to two for the zero mass case.
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The Representations of the Oscillator Group
TL;DR: In this paper, all the unitary continuous irreducible representations of the 4-dimensional Lie group generated by the canonical variables and a positive definite quadratic "hamiltonian" are found.
Journal ArticleDOI
Space--time and degrees of freedom of the elementary particle.
TL;DR: In this article, a general property of Lie groups is used in the case of the Poincare group in order to define the one particle phase space, which is eight-dimensional in the general case and six-dimensional for a spinless or massless particle.
Related Papers (5)
The Maxwell Group and the Quantum Theory of Particles in Classical Homogeneous Electromagnetic Fields
Group-theoretical analysis of elementary particles in an external electromagnetic field II.—The nonrelativistic particle in a constant and uniform field
H. Bacry,Ph. Combe,J. L. Richard +2 more