Green Function on the q-Symmetric Space SU_q(2)/U(1)

Abstract

Following the introduction of the invariant distance on the non-commutative C-algebra of the quantum group SU_q(2), the Green function and the Kernel on the q-homogeneous space M=SU(2)_q/U(1) are derived. A path integration is formulated. Green function for the free massive scalar field on the non-commutative Einstein space R^1xM is presented.

Plain Latex, 19 p

References in corpus (4)

• CQG algebras: a direct algebraic approach to compact quantum groups
• Free q-Schrodinger Equation from Homogeneous Spaces of the 2-dim Euclidean Quantum Group
• $s{l}_q(2)$ Realizations for Kepler and Oscillator Potentials and q-Canonical Transformations
• Scattering from the Potential Barrier V=cosh^{-2} ωx from the Path Integration over SO(1,2)

Cited by in corpus (4)

• Unitary representations of the 2-dimensional Euclidean group in the Heisenberg algebra
• Green function on the quantum plane
• Representations of SU(1,1) in Non-commutative Space Generated by the Heisenberg Algebra
• Summation Formulas for the product of the q-Kummer Functions from $E_q(2)$