Free \(q\)-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group

DOI10.1007/BF02101628zbMath0951.81008arXivhep-th/9409048OpenAlexW3103982431MaRDI QIDQ1912614

Nicola Ciccoli, Francesco Bonechi, Riccardo Giachetti, Marco Tarlini, Emanuele Sorace

Publication date: 6 June 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9409048

zbMATH Keywords

quantum planeeigenfunctions of Casimir operatorHahn-Exton functionsjackson \(q\)-Bessel functionsquantum hyperboloid

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (9)

On the construction of quantum homogeneous spaces from \(^{\ast}\)-Galois objects ⋮ AdS Poisson homogeneous spaces and Drinfel’d doubles ⋮ Two body relativistic wave equations ⋮ Crossed products by a coalgebra ⋮ Quantum field theory on the noncommutative plane with Eq(2) symmetry ⋮ Induction of quantum group representations ⋮ Galois and cleft monoidal cowreaths. Applications ⋮ Quantum group (co)actions on \(G\)-spaces and quantum modules ⋮ Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces

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