Discretized CCR algebras

Abstract

We discuss how the canonical commutation relations must be modified in order to make appropriate numerical models of quantum systems. The C*-algebras associated with the discretized CCRs are the non-commutative spheres of Bratteli, Elliott, Evans and Kishimoto.

14 pages, AMSTeX 2.1

References in corpus (1)

• Non-commutative spheres and numerical quantum mechanics

Cited by in corpus (3)

• Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms
• Inverse-Closed Subalgebras of Noncommutative Tori
• Gabor frames without inequalities