264 citations · 1.9k across the 41 of their papers we have counts for
40 papers
Time dependent propagator for an-harmonic oscillator with quartic term in potential
J. Boháčik, P. Prešnajder, P. Augustín
In this work, we present the analytical approach to the evaluation of the conditional measure Wiener path integral. We consider the time-dependent model parameters. We find the dif…
Magnetic Monopoles in (Noncommutative) Quantum Mechanics
Samuel Kováčik, Peter Prešnajder
We utilize the close relation between the complex space and the real space to reformulate quantum mechanics in a manner which allows to, either or bot…
Alternative Description of Magnetic Monopoles in Quantum Mechanics
Samuel Kováčik, Peter Prešnajder
We present an alternative description of magnetic monopoles by lifting quantum mechanics from 3-dimensional space into a one with 2 complex dimensions. Magnetic monopoles are reali…
Magnetic monopoles in noncommutative quantum mechanics 2
Samuel Kováčik, Peter Prešnajder
In this paper we extend the analysis of magnetic monopoles in quantum mechanics in three dimensional rotationally invariant noncommutative space . We construct the…
Magnetic monopoles in noncommutative quantum mechanics
Samuel Kováčik, Peter Prešnajder
We discuss certain generalization of the Hilbert space of states in noncommutaive quantum mechanics that, as we show, introduces magnetic monopoles into the theory. Such generaliza…
Laplace-Runge-Lenz vector in quantum mechanics in noncommutative space
Veronika Galikova, Samuel Kovacik, Peter Presnajder
The main point of this paper is to examine a "hidden" dynamical symmetry connected with the conservation of Laplace-Runge-Lenz vector (LRL) in the hydrogen atom problem solved by m…