Generalized tomographic maps and star-product formalism

Tomographic Map within the Framework of Star-product Quantization

Star-product quantization provides us the a formulation of quantum mechanics where quantum observables are presented by functions on the phase space instead of operators acting on some Hilbert space. The product of functions is not the point-wise product. This induced product is nonlocal and it is defined by some kernel. Recently the tomographic description of quantum states has been introduced...

Relative Compactness and Product Stable Quotient Maps

On strongly Jordan zero-product preserving maps

In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of  Jordan zero-product preserving maps. In this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly Jordan zero-product preserving maps are completely different. Also, we prove that the direct p...

Algebraic Formalism over Maps

This paper describes features of a language approach for map algebra based on the use of algebraic expressions. To be consistent with formal approaches such as geoalgebra and image algebra, the proposed algebraic expressions are suitable for the usual modeling of layers and to represent neighborhoods and zones. A tight compromise between language and implementation issues based on the theory of...

Spin Description in the Star Product and the Path Integral Formalism

The spin can be described in the star product formalism by extending the bosonic Moyal product in the fermionic sector. The fermionic star product is then the Clifford product of geometric algebra and it is possible to formulate the fermionic star product formalism in analogy to the bosonic star product formalism. For the fermionic star product description of spin, one can then establish the re...