Non-Abelian physics in light and sound
Non-Abelian phenomena arise when the sequence of operations on physical systems
influences their behaviors. By possessing internal degrees of freedom such as polarization …
influences their behaviors. By possessing internal degrees of freedom such as polarization …
A comparative review of four formulations of noncommutative quantum mechanics
L Gouba - International Journal of Modern Physics A, 2016 - World Scientific
Four formulations of quantum mechanics on noncommutative Moyal phase spaces are
reviewed. These are the canonical, path-integral, Weyl–Wigner and systematic formulations …
reviewed. These are the canonical, path-integral, Weyl–Wigner and systematic formulations …
Generalized uncertainty principle or curved momentum space?
F Wagner - Physical Review D, 2021 - APS
The concept of minimum length, widely accepted as a low-energy effect of quantum gravity,
manifests itself in quantum mechanics through generalized uncertainty principles. Curved …
manifests itself in quantum mechanics through generalized uncertainty principles. Curved …
Synthesis and observation of non-Abelian gauge fields in real space
Particles placed inside an Abelian (commutative) gauge field can acquire different phases
when traveling along the same path in opposite directions, as is evident from the Aharonov …
when traveling along the same path in opposite directions, as is evident from the Aharonov …
Non-commutative standard model: model building
M Chaichian, P Presnajder, MM Sheikh-Jabbari… - The European Physical …, 2003 - Springer
A non-commutative version of the usual electro-weak theory is constructed. We discuss how
to overcome the two major problems:(1) although we can have non-commutative U …
to overcome the two major problems:(1) although we can have non-commutative U …
The Klein–Gordon equation with the Kratzer potential in the noncommutative space
M Darroodi, H Mehraban… - Modern Physics Letters A, 2018 - World Scientific
The Klein–Gordon equation is considered for the Kratzer potential in the spherical polar
coordinate in laboratory frame in noncommutative space. The energy shift due to …
coordinate in laboratory frame in noncommutative space. The energy shift due to …
[HTML][HTML] Two phases of the noncommutative quantum mechanics
We consider quantum mechanics on the noncommutative plane in the presence of magnetic
field B. We show, that the model has two essentially different phases separated by the point …
field B. We show, that the model has two essentially different phases separated by the point …
The topological AC effect on non-commutative phase space
K Li, J Wang - The European Physical Journal C, 2007 - Springer
Abstract The Aharonov–Casher (AC) effect in non-commutative (NC) quantum mechanics is
studied. Instead of using the star product method, we use a generalization of Bopp's shift …
studied. Instead of using the star product method, we use a generalization of Bopp's shift …
Exact solution to two dimensional Dunkl harmonic oscillator in the Non-Commutative phase-space
In this paper, we examine the harmonic oscillator problem in non-commutative phase space
(NCPS) by using the Dunkl derivative instead of the habitual one. After defining the Hamilton …
(NCPS) by using the Dunkl derivative instead of the habitual one. After defining the Hamilton …
Quantum theories on noncommutative spaces with nontrivial topology: Aharonov–Bohm and Casimir effects
M Chaichian, A Demichev, P Prešnajder… - Nuclear Physics B, 2001 - Elsevier
After discussing the peculiarities of quantum systems on noncommutative (NC) spaces with
nontrivial topology and the operator representation of the★-product on them, we consider …
nontrivial topology and the operator representation of the★-product on them, we consider …