Operator Deformations in Quantum Measurement Theory

Abstract

We describe rigorous quantum measurement theory in the Heisenberg picture by applying operator deformation techniques previously used in noncommutative quantum field theory. This enables the conventional observables (represented by unbounded operators) to play a role also in the more general setting.

References in corpus (3)

• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
• Quantum Mechanical Effects from Deformation Theory

Cited by in corpus (8)

• Quantum Mechanical Effects from Deformation Theory
• Index pairings for ${\mathbb{R}}^n$-actions and Rieffel deformations
• Self-Adjointness of Deformed Unbounded Operators
• Detailed balance as a quantum-group symmetry of Kraus operators
• Electromagnetism in terms of quantum measurements
• Relativistic Corrections to the Moyal-Weyl Spacetime
• Curving Flat Space-Time by Deformation Quantization?
• A Poincaré Covariant Noncommutative Spacetime?