16 citations · 18 across the 2 of their papers we have counts for
9 papers · 1 filter
Classical and Quantal Ternary Algebras
Thomas Curtright, David Fairlie, Xiang Jin +2
We consider several ternary algebras relevant to physics. We compare and contrast the quantal versions of the algebras, as realized through associative products of operators, with…
Planar Super-Landau Models
Evgeny Ivanov, Luca Mezincescu, Paul K. Townsend
In previous papers we solved the Landau problems, indexed by 2M, for a particle on the ``superflag'' S U (2|1)/[U (1) x U (1)], the M = 0 case being equivalent to the Landau proble…
Super Chern-Simons Quantum Mechanics
Luca Mezincescu
The Super Chern-Simons mechanics, and quantum mechanics of a particle, on the coset super-manifolds SU(2|1)/ U(2) and SU(2|1)/U(1)X U(1), is considered. Within a convenient quantiz…
Non-relativistic strings and branes as non-linear realizations of Galilei groups
Jan Brugues, Thomas Curtright, Joaquim Gomis +1
We construct actions for non-relativistic strings and membranes purely as Wess-Zumino terms of the underlying Galilei groups.
Fuzzy CP(n|m) as a quantum superspace
Evgeny Ivanov, Luca Mezincescu, Paul K. Townsend
The `Chern-Simons Quantum Mechanics' of a particle on CP(n|m) is shown to yield the fuzzy descriptions of these superspaces, for which we construct the non-(anti)commuting position…
Star Operation in Quantum Mechanics
Luca Mezincescu
We outline the description of Quantum Mechanics with noncommuting coordinates within the framework of star operation. We discuss simple cases of integrability.