Matches in SemOpenAlex for { <https://semopenalex.org/work/W3102000809> ?p ?o ?g. }
- W3102000809 endingPage "1450022" @default.
- W3102000809 startingPage "1450022" @default.
- W3102000809 abstract "The quantum phase space described by Heisenberg algebra possesses undeformed Hopf algebroid structure. The $kappa$-deformed phase space with noncommutative coordinates is realized in terms of undeformed quantum phase space. There are infinitely many such realizations related by similarity transformations. For a given realization we construct corresponding coproducts of commutative coordinates and momenta (bialgebroid structure). The $kappa$-deformed phase space has twisted Hopf algebroid structure. General method for the construction of twist operator (satisfying cocycle and normalization condition) corresponding to deformed coalgebra structure is presented. Specially, twist for natural realization (classical basis) of $kappa$-Minkowski spacetime is presented. The cocycle condition, $kappa$-Poincar'{e} algebra and $R$-matrix are discussed. Twist operators in arbitrary realizations are constructed from the twist in the given realization using similarity transformations. Some examples are presented. The important physical applications of twists, realizations, $R$-matrix and Hopf algebroid structure are discussed." @default.
- W3102000809 created "2020-11-23" @default.
- W3102000809 creator A5022319135 @default.
- W3102000809 creator A5026935490 @default.
- W3102000809 creator A5087001633 @default.
- W3102000809 date "2014-02-18" @default.
- W3102000809 modified "2023-10-01" @default.
- W3102000809 title "Twists, realizations and Hopf algebroid structure of κ-deformed phase space" @default.
- W3102000809 cites W128645196 @default.
- W3102000809 cites W1510428393 @default.
- W3102000809 cites W1530255109 @default.
- W3102000809 cites W1562889904 @default.
- W3102000809 cites W1627432821 @default.
- W3102000809 cites W1628031474 @default.
- W3102000809 cites W1661352576 @default.
- W3102000809 cites W1965675522 @default.
- W3102000809 cites W1966723344 @default.
- W3102000809 cites W1967890292 @default.
- W3102000809 cites W1971736388 @default.
- W3102000809 cites W1974665356 @default.
- W3102000809 cites W1978385610 @default.
- W3102000809 cites W1979547111 @default.
- W3102000809 cites W1980759882 @default.
- W3102000809 cites W1987210770 @default.
- W3102000809 cites W1990697735 @default.
- W3102000809 cites W1992287845 @default.
- W3102000809 cites W1992708637 @default.
- W3102000809 cites W1995118118 @default.
- W3102000809 cites W1996469834 @default.
- W3102000809 cites W1999894462 @default.
- W3102000809 cites W2002439144 @default.
- W3102000809 cites W2008840962 @default.
- W3102000809 cites W2011665279 @default.
- W3102000809 cites W2013006680 @default.
- W3102000809 cites W2015976434 @default.
- W3102000809 cites W2022469484 @default.
- W3102000809 cites W2027727051 @default.
- W3102000809 cites W2035409336 @default.
- W3102000809 cites W2037551891 @default.
- W3102000809 cites W2041299688 @default.
- W3102000809 cites W2042521795 @default.
- W3102000809 cites W2052263708 @default.
- W3102000809 cites W2060555567 @default.
- W3102000809 cites W2067725259 @default.
- W3102000809 cites W2071569723 @default.
- W3102000809 cites W2074919911 @default.
- W3102000809 cites W2075992781 @default.
- W3102000809 cites W2076173335 @default.
- W3102000809 cites W2079320150 @default.
- W3102000809 cites W2080465764 @default.
- W3102000809 cites W2081917558 @default.
- W3102000809 cites W2085713138 @default.
- W3102000809 cites W2088508371 @default.
- W3102000809 cites W2088579301 @default.
- W3102000809 cites W2089199943 @default.
- W3102000809 cites W2089596605 @default.
- W3102000809 cites W2091923000 @default.
- W3102000809 cites W2101207970 @default.
- W3102000809 cites W2103640903 @default.
- W3102000809 cites W2107446488 @default.
- W3102000809 cites W2110216801 @default.
- W3102000809 cites W2111138808 @default.
- W3102000809 cites W2118838736 @default.
- W3102000809 cites W2120223945 @default.
- W3102000809 cites W2134639364 @default.
- W3102000809 cites W2145847827 @default.
- W3102000809 cites W2146550026 @default.
- W3102000809 cites W2146808728 @default.
- W3102000809 cites W2151667761 @default.
- W3102000809 cites W2152754632 @default.
- W3102000809 cites W2157692159 @default.
- W3102000809 cites W2161879643 @default.
- W3102000809 cites W2170336682 @default.
- W3102000809 cites W2178245300 @default.
- W3102000809 cites W251507915 @default.
- W3102000809 cites W2592110059 @default.
- W3102000809 cites W2594004064 @default.
- W3102000809 cites W2594363316 @default.
- W3102000809 cites W2952150588 @default.
- W3102000809 cites W3021827126 @default.
- W3102000809 cites W3037835804 @default.
- W3102000809 cites W3099116806 @default.
- W3102000809 cites W3099121772 @default.
- W3102000809 cites W3099868963 @default.
- W3102000809 cites W3100450066 @default.
- W3102000809 cites W3101263131 @default.
- W3102000809 cites W3101360271 @default.
- W3102000809 cites W3103225272 @default.
- W3102000809 cites W3103621219 @default.
- W3102000809 cites W3103626557 @default.
- W3102000809 cites W3103902384 @default.
- W3102000809 cites W3104042550 @default.
- W3102000809 cites W3105948347 @default.
- W3102000809 cites W3106353371 @default.
- W3102000809 cites W3121218718 @default.
- W3102000809 cites W3122082633 @default.
- W3102000809 cites W3122636599 @default.
- W3102000809 cites W3124309222 @default.