4 papers
quant-ph2026
The Heisenberg-Weyl-parity group its coherent states and a unified Wigner-Weyl function
A. Vourdas
The Heisenberg-Weyl group related to a -dimensional Hilbert space , is enlarged into the Heisenberg-Weyl-parity group that incorporates parity transformat…
math-ph2026
Random walks in finite Abelian groups with Birkhoff subpolytopes of doubly stochastic matrices and their physical implementation
A. Vourdas
Random walks in a finite Abelian group are studied. They use Markov chains with doubly stochastic transition matrices, in a Birkhoff subpolytope associated with t…
quant-ph2025
Effective approach to open systems with probability currents and the Grothendieck formalism
A. Vourdas
An effective approach to open systems and irreversible phenomena is presented, where an open system with -dimensional Hilbert space, is a subsystem of a larger isolated…
quant-ph2025
Partial order and topology of Hermitian matrices and quantum Choquet integrals for density matrices with given expectation values
A. Vourdas
The set of Hermitian matrices (observables) is studied as a partially ordered set with the Löwner partial order. Upper and lower sets in it, define the concept of…