Results 111 to 120 of about 2,501 (221)
Spin Representations of the q-Poincare Algebra [PDF]
, 2001 In der Quantenmechanik können freie Elementarteilchen durch irreduzible Darstellungen der Poincare-Algebra beschrieben werden. Im Rahmen der Darstellungtheorie der q-deformierten Poincaré-Algebra untersucht diese Arbeit den Spin von Teilchen auf einer ...
Blohmann, Christian
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Symmetry Lie algebra of the Dirac oscillator
, 1990 Recently the name Dirac oscillator was given to a Dirac equation in which both the momenta and the coordinates appear linearly. In the non-relativistic limit, the equation satisfied by the large components is that of a standard harmonic oscillator plus a
Moshinsky, Marcos, Quesne, Christiane
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DIRAC GAMMA MATRICES AS REPRESENTATIONS OF THE ALGEBRA OF LITTLE GROUPS [PDF]
, 2000 The algebra of O(3, 3) is contracted to that of E(2)-like groups in the infinite-momentum limit. It is shown through this process that there are 18 different possibilities for the representations of E(2)-like algebra if they are to be expressed in terms ...
S Başkal, Baskal, S
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Maxwell's Equations and Potentials in Dirac form using Geometric Algebra
, 2019 The basis for engineering electromagnetic computations still relies on Gibbs' vector algebra. It is well known that Clifford algebra (geometric algebra) presents several enhancement on the latter. In this paper it is shown that Maxwell's equations can be
Mastri F. +7 more
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Quantum States on the Algebra of Dirac Fields: A functional analytic approach [PDF]
, 2017 The aim of this thesis is to use functional analytic techniques to construct quasifree states on the algebras of observables for massive Dirac fields. We begin by considering the Rindler spacetime.
Murro, Simone
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Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
Symmetry, Integrability and Geometry: Methods and Applications, 2010 The usual ambient space approach to conformal fields is based on identifying the d-dimensional conformal space as the Dirac projective hypercone in a flat d+2-dimensional ambient space. In this work, we explicitly concentrate on singletons of any integer
Xavier Bekaert, Maxim Grigoriev
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Dirac, Bohm and the Algebraic Approach
, 2019 In this paper we show how Dirac, in 1947, anticipated the Bohm approach using an argument based on what is now called the Heisenberg picture. From a detailed examination of these ideas, we show that the role played by the Dirac standard ket is equivalent to the introduction and use of the idempotent in the orthogonal and symplectic Clifford algebras ...
Hiley, B. J., Dennis, G.
openaire +2 more sources
Gravity, torsion, Dirac field and computer algebra using MAPLE and REDUCE [PDF]
, 2002 The article presents computer algebra procedures and routines applied to the study of the Dirac field on curved spacetimes. The main part of the procedures is devoted to the construction of Pauli and Dirac matrices algebra on an anholonomic orthonormal ...
Vulcanov, D., Vulcanov, Dumitru N.
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A Lie algebra of Grassmannian Dirac operators and vector variables
, 2022 Lie algebra generated by m p-dimensional Grassmannian Dirac operators and m p-dimensional vector variables is identified as the orthogonal Lie algebra so(2m + 1). In this paper, we study the space P of polynomials in these vector variables, corresponding
De Bie, Hendrik +2 more
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Yukawa-Lorentz symmetry of interacting non-Hermitian birefringent Dirac fermions
SciPost PhysicsThe energy spectra of linearly dispersing gapless spin-3/2 Dirac fermions display birefringence, featuring two effective Fermi velocities, thus breaking the space-time Lorentz symmetry.
Sk Asrap Murshed, Bitan Roy
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