3 citations · 5 across the 6 of their papers we have counts for
6 papers
Some oscillatory representations of fuzzy conformal group SU(2,2) with positive energy
Samuel Beznák, Peter Prešnajder
We construct the relativistic fuzzy space as a non-commutative algebra of functions with purely structural and abstract coordinates being the creaction and annihilation (C/A) opera…
NC plane waves, Casimir effect and flux tube potential with Lüscher terms
Samuel Kováčik, Peter Prešnajder
We analyze plane waves in a model of quantum mechanics in a three dimensional noncommutative (NC) space . Signature features of NC models are impossibility of probing distan…
The possibility of the non-perturbative an-harmonic correction to Mehler's formula for propagator of the harmonic oscillator
J. Boháčik, P. Prešnajder, P. Augustín
We find the possibility of the non-perturbative an-harmonic correction to Mehler's formula for propagator of the harmonic oscillator. We evaluate the conditional Wiener measure fun…
Coulomb problem in non-commutative quantum mechanics - Exact solution
Veronika Gáliková, Peter Prešnajder
We investigate consequences of space non-commutativity in quantum mechanics of the hydrogen atom. We introduce rotationally invariant noncommutative space - an an…
Study of an Abelinization Transition in SU(2) Gluodynamics at Finite Temperature
Juraj Boháčik, Peter Prešnajder
We discuss the problem of an effective descriptions of the phase transition phenomena in the pure gluodynamics in SU(2) symmetric QCD. We choose the method of calculation following…
Functional integral with term in the action beyond standard perturbative methods II
Juraj Boháčik, Peter Prešnajder
To avoid problems with infinite measure, the functional integral for harmonic oscillator can be calculated by time - slicing method with continuum limit procedure proposed Gelfand…