منابع مشابه
The Quantum Deformed Dirac Equation from the κ–Poincaré Algebra
In this letter we derive a deformed Dirac equation invariant under the κ–Poincaré quantum algebra. A peculiar feature is that the square of the κ–Dirac operator is related to the second Casimir (the κ–deformed squared Pauli–Lubanski vector). The “spinorial” realization of the κ–Poincaré is obtained by a contraction of the coproduct of the real form of SOq(3, 2) using the 4–dimensional represent...
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The Dirac equation plays a key role in microscopic descriptions of many-fermion systems, employing covariant density functional theory and the relativistic mean-field approach. In application to nuclei and hadrons, the required Dirac mean-field Hamiltonian involves a mixture of Lorentz vector and scalar potentials. Recently, symmetries of Dirac Hamiltonians with such Lorentz structure were show...
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Noncommutative (deformed, quantum) spaces are deformations of the usual commutative space-time. They depend on parameters, such that for certain values of parameters they become the usual space-time. The symmetry acting on them is given in terms of a deformed quantum group symmetry. In this work we discuss two special examples, the θ-deformed space and the κ-deformed space. In the case of the θ...
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In κ-deformed relativistic framework we consider three different definitions of κ-deformed velocities and introduce corresponding addition laws. We show that one of the velocities has classical relativistic addition law. The relation of velocity formulae with the coproduct for fourmomenta and noncommutative space-time structure is exhibited.
متن کاملΚ-deformed Oscillators: Deformed Multiplication versus Deformed Flip Operator and Multiparticle Clusters
We transform the oscillator algebra with κ-deformed multiplication rule, proposed in [1, 2], into the oscillator algebra with κ-deformed flip operator and standard multiplication. We recall that the κ-multiplication of the κ-oscillators puts them off-shell. We study the explicit forms of modified mass-shell conditions in both formulations: with κ-multiplication and with κ-flip operation. On the...
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2011
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s021773231103550x