Abbreviated Journal Title
Symmetry Integr. Geom.
Heisenberg relation; unbounded operator; finite von Neumann algebra; Type II1 factor; OPERATORS; RINGS; Physics, Mathematical
We study some of the possibilities for formulating the Heisenberg relation of quantum mechanics in mathematical terms. In particular, we examine the framework discussed by Murray and von Neumann, the family (algebra) of operators affiliated with a finite factor (of infinite linear dimension).
Symmetry Integrability and Geometry-Methods and Applications
Kadison, Richard V. and Liu, Zhe, "The Heisenberg Relation - Mathematical Formulations" (2014). Faculty Bibliography 2010s. 5538.