Statistics in the Propositional Formulation of Quantum Mechanics
Dan Radu Grigore
Abstract
We give a definition for the notion of statistics in the lattice-theoretical (or propositional) formulation of quantum mechanics of Birchoff, von Neumann and Piron. We show that this formalism is compatible only with two types of statistics: Bose-Einstein and Fermi-Dirac. Some comments are made about the connection between this result and the existence of exotic statistics (para-statistics, infinite statistics, braid statistics).
Create a lesson
Related papers
On the universality of entanglement entropy in quantum field theory
Orr Sela
Negative Junction Logarithms in Scalar Multipartite Entanglement
Chen-Te Ma
A Ghost-Free dS/AdS Correspondence in N=1 Supergravity
Omer Guleryuz
Hermitian matrix-valued nonlocal deformation of the SU(N) Thirring model at large N
J. R. Nascimento, P. J. Porf\'ırio, C. Furtado
Obstruction to local entropy laws on arbitrary black-hole cuts in five-dimensional Einstein--Gauss--Bonnet gravity
Cendikiawan Suryaatmadja, Robert B. Mann
Hamiltonian of open string field theory for time-dependent solutions
Vinícius Bernardes, Riccardo Poletti