9 citations · 16 across the 23 of their papers we have counts for
21 papers · 1 filter
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…
Coherent States for the Manin Plane via Toeplitz Quantization
Micho Durdevich, Stephen Bruce Sontz
In the theory of Toeplitz quantization of algebras, as developed by the second author, coherent states are defined as eigenvectors of a Toeplitz annihilation operator. These cohere…
Toeplitz Quantization of a Free -Algebra
Stephen Bruce Sontz
In this note we quantize the free -algebra generated by finitely many variables, which is a new example of the theory of Toeplitz quantization of -algebras as developed p…
Co-Toeplitz Quantization: A Simple Case
Stephen Bruce Sontz
The author has introduced in a recent paper a new class of operators, called co-Toeplitz operators, with symbols in a co-algebra. This is the categorical dual to Toeplitz operators…
Dunkl Operators for Arbitrary Finite Groups
Micho Durdevich, Stephen Bruce Sontz
The Dunkl operators associated to a necessarily finite Coxeter group acting on a Euclidean space are generalized to any finite group using the techniques of non-commutative geometr…
Co-Toeplitz Operators and their Associated Quantization
Stephen Bruce Sontz
We define co-Toeplitz operators, a new class of Hilbert space operators, in order to define a co-Toeplitz quantization scheme that is dual to the Toeplitz quantization scheme intro…