Quantum mechanics with difference operators

DOI10.1016/S0034-4877(02)80069-6zbMath1043.81012arXivquant-ph/0207077OpenAlexW3100635645MaRDI QIDQ1429208

Reidun Twarock, Vladimir K. Dobrev, H. D. Doebner

Publication date: 18 May 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0207077

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Geometry and quantization, symplectic methods (81S10) Difference equations, scaling ((q)-differences) (39A13)

Related Items

Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ Linear operators associated with differential and difference systems: what is different?

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(q\)-deformation of the Virasoro algebra with central extension
• \(q\)-deformed Minkowski space based on a \(q\)-Lorentz algebra
• NONLINEAR SCHRÖDINGER DYNAMICS OF MATRIX D-BRANES
• Infinite‐dimensional Symmetries
• Wigner approach to quantization. Noncanonical quantization of two particles interacting via a harmonic potential
• q-Deformed Phase Space and its Lattice Structure
• Quantization of kinematics and dynamics on with difference operators and a relatedq-deformation of the Witt algebra
• Many-body Wigner quantum systems
• as a discretization of Virasoro algebra
• Properties of nonlinear Schrodinger equations associated with diffeomorphism group representations
• Aq-Schrödinger equation based on a Hopfq-deformation of the Witt algebra
• Quantum groups

This page was built for publication: Quantum mechanics with difference operators