36 citations · 126 across the 8 of their papers we have counts for
8 papers
Defining Real Numbers as Oracles
James Taylor
A real number is a rule that, when provided with a rational interval, answers Yes or No depending on if the real number ought to be considered to be in the given interval. Since th…
Real Representations of -Graded Groups: The Linear and Hermitian Theories
Dmitriy Rumynin, James Taylor
We study linear and hermitian representations of finite -graded groups. We prove that the category of linear representations is equivalent to a category of antilinear represen…
Real Representations of -Graded Groups: The Antilinear Theory
Dmitriy Rumynin, James Taylor
We use the structure of finite-dimensional graded algebras to develop the theory of antilinear representations of finite -graded groups. A finite -graded group is a finit…
Fermionic Wave Functions on Unordered Configurations
Sheldon Goldstein, James Taylor, Roderich Tumulka +1
Quantum mechanical wave functions of N identical fermions are usually represented as anti-symmetric functions of ordered configurations. Leinaas and Myrheim proposed how a fermioni…
Topological Factors Derived From Bohmian Mechanics
Detlef Duerr, Sheldon Goldstein, James Taylor +2
We derive for Bohmian mechanics topological factors for quantum systems with a multiply-connected configuration space Q. These include nonabelian factors corresponding to what we c…
Quantum Mechanics in Multiply-Connected Spaces
Detlef Duerr, Sheldon Goldstein, James Taylor +2
We explain why, in a configuration space that is multiply connected, i.e., whose fundamental group is nontrivial, there are several quantum theories, corresponding to different cho…