Q-Deformed Path Integral

Abstract

Using differential and integral calculi on the quantum plane which are invariant with respect to quantum inhomogeneous Euclidean group E(2)q , we construct path integral representation for the quantum mechanical evolution operator kernel of q-oscillator.

14 pages, Latex, HU-SEFT R 1993-10

References in corpus (3)

• The 2-Dimensional Quantum Euclidean Algebra
• Bicovariant Differential Calculus on the Quantum D=2 Poincare Group
• Quantum Group $\sigma$ Models

Cited by in corpus (10)

• Aharonov-Bohm Effect in Noncommutative Spaces
• Exact methods in analysis of nonequilibrium dynamics of integrable models: application to the study of correlation functions in nonequilibrium 1D Bose gas
• Quasiclassical Limit in q-Deformed Systems, Noncommutativity and the q-Path Integral
• q-Exponentials on quantum spaces
• Path Integrals with Generalized Grassmann Variables
• The q-Deformed Oscillator Representations and Their Coherent States of the su(1,1) Algebra
• Gauge Field Theory on the E_q(2)-covariant Plane
• Noncommutative Gauge Theory on the q-Deformed Euclidean Plane
• q-deformed Star Products and Moyal Brackets
• A Dynamical System with Q-deformed Phase Space Represented in Ordinary Variable Spaces