EXTREME POINT METHODS IN THE STUDY OF ISOMETRIES ON CERTAIN NONCOMMUTATIVE SPACES
Sign Up to like & getrecommendations! Published in 2021 at "Glasgow Mathematical Journal"
DOI: 10.1017/s0017089521000227
Abstract: Abstract In this paper, we characterize surjective isometries on certain classes of noncommutative spaces associated with semi-finite von Neumann algebras: the Lorentz spaces $L^{w,1}$ , as well as the spaces $L^1+L^\infty$ and $L^1\cap L^\infty$ .… read more here.
Keywords: study isometries; point methods; noncommutative spaces; methods study ... See more keywords
Quantum bound states of a Landau-type system for a moving electric quadrupole moment under the Kratzer potential in both commutative and noncommutative spaces
Sign Up to like & getrecommendations! Published in 2020 at "European Physical Journal Plus"
DOI: 10.1140/epjp/s13360-020-00787-w
Abstract: Bound states solutions and radial wave functions of a Landau system for a moving neutral particle that possesses an electric quadrupole moment under the Kratzer potential are obtained in commutative and noncommutative spaces. In both… read more here.
Keywords: bound states; kratzer potential; electric quadrupole; system moving ... See more keywords
Revisiting Connes’ finite spectral distance on noncommutative spaces: Moyal plane and fuzzy sphere
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887818502043
Abstract: Beginning with a review of the existing literature on the computation of spectral distances on noncommutative spaces like Moyal plane and fuzzy sphere, adaptable to Hilbert–Schmidt operatorial formulation, we carry out a correction, revision and… read more here.
Keywords: moyal plane; distance; see text; formula see ... See more keywords