Higher Order Measures, Generalized Quantum Mechanics and Hopf Algebras
Chryssomalakos, Chryssomalis ; Durdevich, Micho
arXiv, 0309092 / Harvested from arXiv
Text on arXiv
We study Sorkin's proposal of a generalization of quantum mechanics and find that the theories proposed derive their probabilities from $k$-th order polynomials in additive measures, in the same way that quantum mechanics uses a probability bilinear in the quantum amplitude and its complex conjugate. Two complementary approaches are presented, a $C^*$ and a Hopf-algebraic one, illuminating both algebraic and geometric aspects of the problem.
Publié le : 2003-09-10
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0309092,
     author = {Chryssomalakos, Chryssomalis and Durdevich, Micho},
     title = {Higher Order Measures, Generalized Quantum Mechanics and Hopf Algebras},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309092}
}

Chryssomalakos, Chryssomalis; Durdevich, Micho. Higher Order Measures, Generalized Quantum Mechanics and Hopf Algebras. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309092/