25 citations · 144 across the 25 of their papers we have counts for
8 papers · 1 filter
Dynamical Correspondence in a Generalized Quantum Theory
Gerd Niestegge
In order to figure out why quantum physics needs the complex Hilbert space, many attempts have been made to distinguish the C*-algebras and von Neumann algebras in more general cla…
A Representation of Quantum Measurement in Nonassociative Algebras
Gerd Niestegge
Starting from an abstract setting for the Lueders - von Neumann quantum measurement process and its interpretation as a probability conditionalization rule in a non-Boolean event s…
Different Types of Conditional Expectation and the Lueders - von Neumann Quantum Measurement
Gerd Niestegge
In operator algebra theory, a conditional expectation is usually assumed to be a projection map onto a sub-algebra. In the paper, a further type of conditional expectation and an e…
Conditional expectations associated with quantum states
Gerd Niestegge
An extension of the conditional expectations (those under a given subalgebra of events and not the simple ones under a single event) from the classical to the quantum case is prese…
Why Do the Quantum Observables Form a Jordan Operator Algebra?
Gerd Niestegge
The Jordan algebra structure of the bounded real quantum observables was recognized already in the early days of quantum mechanics. While there are plausible reasons for most parts…
Non-Boolean probabilities and quantum measurement
Gerd Niestegge
A non-Boolean extension of the classical probability model is proposed. The non-Boolean probabilities reproduce typical quantum phenomena. The proposed model is more general and mo…
A Representation of Quantum Measurement in Order-Unit Spaces
Gerd Niestegge
A certain generalization of the mathematical formalism of quantum mechanics beyond operator algebras is considered. The approach is based on the concept of conditional probability…
A hierarchy of compatibility and comeasurability levels in quantum logics with unique conditional probabilities
Gerd Niestegge
In the quantum mechanical Hilbert space formalism, the probabilistic interpretation is a later ad-hoc add-on, more or less enforced by the experimental evidence, but not motivated…