On Uniqueness of the Jump Process in Quantum Measurement Theory

Abstract

We prove that, contrary to the standard quantum theory of continuous observation, in the formalism of Event Enhanced Quantum Theory the stochastic process generating individual sample histories of pairs (observed quantum system, observing classical apparatus) is unique. This result gives a rigorous basis to the previous heuristic argument of Blanchard and Jadczyk. Possible implications of this result are discussed.

31 pages, LaTeX, article; e-mail contact [email protected]

References in corpus (4)

• Measurements continuous in time and a posteriori states in quantum
• Stochastic pure state representation for open quantum systems
• Event-Enhanced Quantum Theory And Piecewise Deterministic Dynamics
• Relativistic Quantum Events

Cited by in corpus (9)

• Relativistic Quantum Events
• Quantum Mechanics with Event Dynamics
• Completely Mixing Quantum Open Systems and Quantum Fractals
• How Events Come Into Being: EEQT, Particle Tracks, Quantum Chaos, and Tunneling Time
• The Piecewise Deterministic Process Associated to EEQT
• On Quantum Iterated Function Systems
• A Way Out of the Quantum Trap
• Piecewise Deterministic Quantum Dynamics and Quantum Fractals on the Poincare Disk
• Quantum Jumps, EEQT and the Five Platonic Fractals