48 citations · 102 across the 7 of their papers we have counts for
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Snyder Noncommutativity and Pseudo-Hermitian Hamiltonians from a Jordanian Twist
P. G. Castro, R. Kullock, F. Toppan
Nonrelativistic quantum mechanics and conformal quantum mechanics are deformed through a Jordanian twist. The deformed space coordinates satisfy the Snyder noncommutativity. The re…
Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
P. G. Castro, B. Chakraborty, R. Kullock +1
Noncommutative oscillators are first-quantized through an abelian Drinfel'd twist deformation of a Hopf algebra and its action on a module. Several important and subtle issues maki…
Hopf Algebras in Deformed Quantum Theories
P. G. Castro
In this work we apply the Drinfel'd twist of Hopf algebras to the study of deformed quantum theories. We prove that, by carefully considering the role of the central extension, it…
Twist Deformations of the Supersymmetric Quantum Mechanics
P. G. Castro, B. Chakraborty, Z. Kuznetsova +1
The N-extended Supersymmetric Quantum Mechanics is deformed via an abelian twist which preserves the super-Hopf algebra structure of its Universal Enveloping Superalgebra. Two cons…
Wigner Oscillators, Twisted Hopf Algebras and Second Quantization
P. G. Castro, B. Chakraborty, F. Toppan
By correctly identifying the role of central extension in the centrally extended Heisenberg algebra h, we show that it is indeed possible to construct a Hopf algebraic structure on…