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S. Meljanac A. Samsarov M. Stojić Kumar S. Gupta 《The European Physical Journal C - Particles and Fields》2008,53(2):295-309
We investigate a Lie algebra-type κ-deformed Minkowski spacetime with undeformed Lorentz algebra and mutually commutative
vector-like Dirac derivatives. There are infinitely many realizations of κ-Minkowski space. The coproduct and the star product
corresponding to each of them are found. An explicit connection between realizations and orderings is established and the
relation between the coproduct and the star product, provided through an exponential map, is proved. Utilizing the properties
of the natural realization, we construct a scalar field theory on κ-deformed Minkowski space and show that it is equivalent to the scalar,
nonlocal, relativistically invariant field theory on the ordinary Minkowski space. This result is universal and does not depend
on the realizations, i.e. the orderings, used. 相似文献
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B. Basu-Mallick Kumar S. Gupta S. Meljanac A. Samsarov 《The European Physical Journal C - Particles and Fields》2008,58(1):159-170
We consider the inequivalent quantizations of a N-body rational Calogero model with a Coulomb type interaction. It is shown that for a certain range of the coupling constants,
this system admits a one-parameter family of self-adjoint extensions. We analyze both the bound and scattering state sectors
and find novel solutions of this model. We also find the ladder operators for this system, with which the previously found
solutions can be constructed. 相似文献
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K. S. Gupta A. Samsarov S. Sen 《The European Physical Journal B - Condensed Matter and Complex Systems》2010,73(3):389-404
We analyze the scattering sector of the Hamiltonians for both gapless and gapped graphene in the presence of a charge impurity using the 2D Dirac equation, which is applicable in the long wavelength limit. We show that for certain range of the system parameters, the combined effect of the short range interactions due to the charge impurity can be modelled using a single real parameter appearing in the boundary conditions. The phase shifts and the scattering matrix depend explicitly on this parameter. We argue that this parameter for graphene can be fixed empirically, through measurements of observables that depend on the scattering data. 相似文献
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Mileković Marijan Meljanac Stjepan Samsarov Andjelo 《Czechoslovak Journal of Physics》2004,54(11):1359-1364
A multispecies model of Calogero type in D 1 dimensions is constructed. The model includes harmonic, two-body and three-body interactions. Using the underlying conformal SU(1,1) algebra, we find the exact eigenenergies corresponding to a class of the exact global collective states. Analyzing corresponding Fock space, we detect the universal critical point at which the model exhibits singular behavior. 相似文献
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S. Meljanac A. Samsarov B. Basu-Mallick K.S. Gupta 《The European Physical Journal C - Particles and Fields》2007,49(3):875-889
We analyze a generalization of the quantum Calogero model with the underlying conformal symmetry, paying special attention
to the two-body model deformation. Owing to the underlying SU(1,1) symmetry, we find that the analytic solutions of this model
can be described within the scope of the Bargmann representation analysis, and we investigate its dynamical structure by constructing
the corresponding Fock space realization. The analysis from the standpoint of supersymmetric quantum mechanics (SUSYQM), when
applied to this problem, reveals that the model is also shape invariant. For a certain range of the system parameters, the
two-body generalization of the Calogero model is shown to admit a one-parameter family of self-adjoint extensions, leading
to inequivalent quantizations of the system.
PACS 02.30.Ik; 03.65.Fd; 03.65.-w 相似文献
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Marijan Milekovic Stjepan Meljanac A. Samsarov M. Stojic 《Czechoslovak Journal of Physics》2005,55(11):1487-1493
We review some algebraical (oscillator) aspects of N-body single-species and multispecies Calogero models in one dimension. We treat them as a particular cases of deformed harmonic
oscillators and discuss the corresponding Fock spaces.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005. 相似文献
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