activity
20132026
most citedLaplace-Runge-Lenz vector in quantum mechanics in noncommutative space

39 citations · 160 across the 17 of their papers we have counts for

collaborators

19 papers

math-ph2026

Asymmetric phase transitions in random noncommutative geometries

Benedek Bukor, Masoud Khalkhali, Samuel Kováčik +4

In this paper, we study the asymmetric phases of the quartic type (0, 1) and (1, 0) Dirac en- sembles via three approaches: the Riemann-Hilbert approach, bootstrapping with positiv…

gr-qc2024

Expanding Microscopic Black Holes

Samuel Kováčik

Two interesting hypotheses about black holes have been proposed. The older one states that microscopic black holes can be accountable for the observed dark matter density. The newe…

gr-qc2024

Phenomenology of the dispersion law in three-dimensional quantum space

Samuel Kováčik, Michaela Ďuríšková, Patrik Rusnák

The concept of a quantum structure underlying space has been proposed for quite some time, yet it has largely eluded direct observation. There is a prevailing notion that the minus…

hep-lat2022

Eigenvalue-flipping Algorithm for Matrix Monte Carlo

Samuel Kováčik, Juraj Tekel

Many physical systems can be described in terms of matrix models that we often cannot solve analytically. Fortunately, they can be studied numerically in a straightforward way. Man…

gr-qc2021

Hawking-Radiation Recoil of Microscopic Black Holes

Samuel Kováčik

Hawking radiation would make microscopic black holes evaporate rapidly, which excludes them from many astrophysical considerations. However, it has been argued that the quantum nat…

hep-th2020★ 2 cited

The nonperturbative phase diagram of the bosonic BMN matrix model

Samuel Kováčik, Denjoe O'Connor, Yuhma Asano

We study the thermal phase transition of the bosonic BMN model which is a mass deformed version of the bosonic part of the BFSS model. Our results connect the massless region of th…

hep-th2020★ 6 cited

The Confining Transition in the Bosonic BMN Matrix Model

Yuhma Asano, Samuel Kováčik, Denjoe O'Connor

We study the confining/deconfining phase transition in the mass deformed Yang-Mills matrix model which is obtained by the dimensional reduction of the bosonic sector of the four-di…

hep-th2018★ 12 cited

Triple Point of a Scalar Field Theory on a Fuzzy Sphere

Samuel Kováčik, Denjoe O'Connor

The model of a scalar field with quartic self-interaction on the fuzzy sphere has three known phases: a uniformly ordered phase, a disordered phase and a non-uniformly ordered phas…

hep-th2018★ 24 cited

The non-perturbative phase diagram of the BMN matrix model

Yuhma Asano, Veselin G. Filev, Samuel Kováčik +1

We study the maximally supersymmetric plane wave matrix model (the BMN model) at finite temperature, , and locate the high temperature phase boundary in the plane, where…

quant-ph2018★ 8 cited

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…

quant-ph2018★ 2 cited

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…

math-ph2018★ 2 cited

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…

hep-th2017★ 1 cited

Magnetic monopoles and symmetries in noncommutative space

Samuel Kováčik, Peter Prešnajder

In this paper, we review the progress in the analysis of magnetic monopoles as generalized states in quantum mechanics. We show that the considered model contains rich algebraic st…

hep-th2016★ 20 cited

A Computer Test of Holographic Flavour Dynamics II

Yuhma Asano, Veselin G. Filev, Samuel Kováčik +1

We study the second derivative of the free energy with respect to the fundamental mass (the mass susceptibility) for the Berkooz-Douglas model as a function of temperature and at z…

hep-th2016★ 10 cited

The Flavoured BFSS Model at High Temperature

Yuhma Asano, Veselin G. Filev, Samuel Kováčik +1

We study the high temperature series expansion of the Berkooz-Douglas matrix model which describes the D0/D4--brane system. At high temperature the model is weakly coupled and we d…

physics.gen-ph2016★ 7 cited

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…

math-ph2015

Quantum Mechanics in Noncommutative space

Veronika Gáliková, Samuel Kováčik, Peter Prešnajder

This paper provides an examination of how are prediction of standard quantum mechanic (QM) affected by introducing a noncommutative (NC) structure into the configuration space of t…

math-ph2013★ 39 cited

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…

math-ph2013★ 27 cited

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…