Every finite-dimensional GKLS dissipator is the contraction of a universal trilinear map D(X,Y)Z=XZY−½{YX,Z} whose components depend only on the Lie-Jordan structure tensors B and C.
Geometrical description of algebraic structures: Applications to Quantum Mechanics
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Geometrization of physical theories have always played an important role in their analysis and development. In this contribution we discuss various aspects concerning the geometrization of physical theories: from classical mechanics to quantum mechanics. We will concentrate our attention into quantum theories and we will show how to use in a systematic way the transition from algebraic to geometrical structures to explore their geometry, mainly its Jordan-Lie structure.
fields
quant-ph 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
A Lie-Jordan Geometric Formulation of Lindblad Dynamics
Every finite-dimensional GKLS dissipator is the contraction of a universal trilinear map D(X,Y)Z=XZY−½{YX,Z} whose components depend only on the Lie-Jordan structure tensors B and C.