57 citations · 315 across the 23 of their papers we have counts for
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Hilbert spaces built over metrics of fixed signature
Andrzej Okolow
We construct two Hilbert spaces over the set of all metrics of arbitrary but fixed signature, defined on a manifold. Every state in one of the Hilbert spaces is built of an uncount…
Space of quantum states built over metrics of fixed signature
Andrzej Okolow
We construct a space of quantum states and an algebra of quantum observables, over the set of all metrics of arbitrary but fixed signature, defined on a manifold. The construction…
Constrained projective quantum states for the degenerate Plebanski gravity
Andrzej Okolow
Nowadays projective quantum states can be constructed for a number of field theories including Loop Quantum Gravity. However, these states are kinematic in this sense that their co…
A modification of the projective construction of quantum states for field theories
Jerzy Kijowski, Andrzej Okolow
The projective construction of quantum states for field theories may be flawed--in some cases the construction may possibly lead to spaces of quantum states which are "too small" t…
Kinematic projective quantum states for Loop Quantum Gravity coupled to tensor fields
Andrzej Okolow
We present a construction of kinematic quantum states for theories of tensor fields of an arbitrary sort. The construction is based on projective techniques by Kijowski. Applying p…
Construction of spaces of kinematic quantum states for field theories via projective techniques
Andrzej Okolow
We present a method of constructing a space of quantum states for a field theory: given phase space of a theory, we define a family of physical systems each possessing a finite num…