This is a package for handling operator algebra within the Maxima Computer Algebra System, with a particular emphasis on quantum mechanical operators. Operator composition is denoted by ., which is ...

Persistent Link: https://ieeexplore.ieee.org/servlet/opac?punumber=8016802 ...

Abstract: This paper presents the development of an operator algebra for differential systems which is useful in that it allows the transmittance methods commonly applied to linear stationary systems ...

The study of Banach spaces and operator algebras constitutes a central theme in modern functional analysis, providing a rigorous framework through which complex systems can be understood. Banach ...

Hilbert space theory and operator algebras provide a robust framework for analysing linear operators and their spectral properties, which are pivotal in both pure and applied mathematics. Hilbert ...

The spectrum of the canonical operator in the noncommutative 2-torus Tθ depending on the parameter θ ∈ [0,1] © Douglas Hofstadter's butterfly. Licensed under ...

We establish an operator algebra generalization of Watrous’ theorem (Watrous 2009 Quantum Inf. Comput.9 403–413) on mixing unital quantum channels (completely positive trace-preserving maps) with the ...

To construct a tensor product theory of modules for a vertex operator algebra, one is forced to proceed “backwards.” As has been the case with many other major developments in the mathematical study ...

In this article, we study the moonshine vertex operator algebra starting with the tensor product of three copies of the vertex operator algebra , and describe it by the quadratic space over 𝔽2 ...

A new class of operator algebras, Kadison–Singer algebras (KS-algebras), is introduced. These highly noncommutative, non-self-adjoint algebras generalize triangular matrix algebras. They are ...

It is proved that the vertex operator algebra V is isomorphic to the moonshine VOA V of Frenkel-Lepowsky-Meurman if it satisfies conditions (a,b,c,d) or (a',b,c,d). These conditions are: (a) V is the ...

Ganja.js is a Geometric Algebra code generator for javascript. It generates Clifford algebras and sub-algebras of any signature and implements operator overloading and algebraic constants.