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I. Tsohantjis

Publications and source records attributed to I. Tsohantjis.

5 recordsLinked to original sources
arXiv2025

Complete set of unitary irreps of Discrete Heisenberg Group $HW_{2^s}$

Following the method of induced group representations of Wigner-Mackay, the explicit construction of all the unitary irreducible representations of the discrete finite Heisenberg-Weyl group $HW_{2^s}$ over the discrete phase space lattice $Z_{2^s}$ $\otimes$ $Z_{2^s}$ is presented. We explicitly determine their characters and their fusion rules. We discuss possible physical applications for finite quantum mechanics and quantum computation.

quant-ph↗
arXiv2009

Towards laser based improved experimental schemes for multiphoton e+ e- pair production from vacuum

Numerical estimates for pair production from vacuum in the presence of strong electromagnetic fields are derived, for two experimental schemes : the First concerns a laser based X-FEL and the other imitates the E144 experiment. The approximation adopted in this work is that of two level multiphoton on resonance. Utilizing achievable values of laser beam parameters, an enhancedproduction efficiency of up to 10^11 and 10^15 pairs can be obtained, for the two schemes respectively.

hep-ph↗
arXiv2008

On electron-positron pair production using a two level on resonant multiphoton approximation

We present an indepth investigation of certain aspects of the two level on resonant multiphoton approximation to pair production from vacuum in the presence of strong electromagnetic fields. Numerical computations strongly suggest that a viable experimental verification of this approach using modern optical laser technology can be achieved. It is shown that use of higher harmonic within the presently available range of laser intensities can lead to multiphoton processes offering up to 10^12 pairs per laser shot. Finally the range of applicability of this approximation is examined from the point of view of admissible values of electric field strength and energy spectrum of the created pairs.

hep-ph↗
arXiv2000

Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan Schwinger map

The aim of this paper is to show that there is a Hopf structure of the parabosonic and parafermionic algebras and this Hopf structure can generate the well known Hopf algebraic structure of the Lie algebras, through a realization of Lie algebras using the parabosonic (and parafermionic) extension of the Jordan Schwinger map. The differences between the Hopf algebraic and the graded Hopf superalgebraic structure on the parabosonic algebra are discussed.

math-ph↗