-analog of Gelfand-Graev basis for the noncompact quantum algebra .
-boson in quantum integrable systems.
-deformed bi-local fields. II.
-deformed superspace and -extended supersymmetric Hamiltonian with arbitrary superpotential
-Wakimoto modules and integral formulae of solutions of the quantum Knizhnik-Zamolodchikov equations.
q-deformed circularity for an unbounded operator in Hilbert space
The notion of strong circularity for an unbounded operator is introduced and studied. Moreover, q-deformed circularity as a q-analogue of circularity is characterized in terms of the partially isometric and the positive parts of the polar decomposition.
Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions.
Qualitative analysis of the classical and quantum Manakov top.
Quantization of pencils with a gl-type Poisson center and braided geometry
We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson pencils and...
Quantum Affine Algebras and Deformations of the Virasoro and -Algebras
Quantum algebras and associated with certain -Hahn polynomials: a revisited approach.
Quantum curve in -oscillator model.
Quantum deformations and superintegrable motions on spaces with variable curvature.
Quantum entanglement and projective ring geometry.
Quantum Fibre Bundles. An Introduction
An approach to construction of a quantum group gauge theory based on the quantum group generalisation of fibre bundles is reviewed.
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere.
Quantum fields on noncommutative spacetimes: theory and phenomenology.
Quantum gravity as a broken symmetry phase of a BF theory.
Quantum homogeneous superspaces and quantum duality principle
We define the concept of quantum section of a line bundle of a homogeneous superspace and we employ it to define the concept of quantum homogeneous projective superspace. We also suggest a generalization of the QDP to the quantum supersetting.
Quantum integrable 1D anyonic models: construction through braided Yang-Baxter equation.