9 citations · 16 across the 23 of their papers we have counts for
26 papers
A New Definition of Quantum Superposition
Stephen Bruce Sontz
The usual description of the superposition of two (pure quantum) states is ambiguous, since the binary operation of addition in a Hilbert space does not pass down to the quotient p…
All Quantum Probability viewed in Complex Projective Geometry
Stephen Bruce Sontz
In a recent paper it was shown that all the Hilbert space formulas for quantum probabilities can be realized as functions of geometric properties of the associated projective space…
Quantum Probability Geometrically Realized in Projective Space
Stephen Bruce Sontz
The principal goal of this paper is to pass all quantum probability formulas to the projective space associated to the complex Hilbert space of a given quantum system, providing a…
Hilbert Spaces of Entire Functions and Toeplitz Quantization of Euclidean Planes
Micho Durdevich, Stephen Bruce Sontz
The theory of Toeplitz quantization presented in our previous paper is extended and further developed to include diverse and interesting non-commutative realizations of the classic…
Time Evolution and Probability in Quantum Theory: The Central Role of Born's Rule
Stephen Bruce Sontz
In this treatise I introduce the time dependent Generalized Born's Rule for the probabilities of quantum events, including conditional and consecutive probabilities, as the unique…
Pauli Matrices: A Triple of Accardi Complementary Observables
Stephen Bruce Sontz
The definition due to Accardi of a pair of complementary observables is adapted to the context of the Lie algebra . We show that the pair of Pauli matrices associa…