264 citations · 1.9k across the 41 of their papers we have counts for
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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 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…
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…
The velocity operator in quantum mechanics in noncommutative space
Samuel Kovacik, Peter Presnajder
We tested in the framework of quantum mechanics the consequences of a noncommutative (NC from now on) coordinates. We restricted ourselves to 3D rotationally invariant NC configura…
Coulomb problem in NC quantum mechanics: Exact solution and non-perturbative aspects
Veronika Gáliková, Peter Presnajder
The aim of this paper is to find out how would possible space non-commutativity (NC) alter the QM solution of the Coulomb problem. The NC parameter lambda is to be regarded as a me…
Quantum Field Theory on quantized Bergman domain
Harald Grosse, Peter Prešnajder, Zhituo Wang
We present an oscillator realization of discrete series representations of group SU(2,2). We give formulas for the coherent state star-product quantization of a Bergman domain .…
The functional integral with unconditional Wiener measure for anharmonic oscillator
J. Bohacik, P. Presnajder
In this article we propose the calculation of the unconditional Wiener measure functional integral with a term of the fourth order in the exponent by an alternative method as in th…