2 citations · 2 across the 6 of their papers we have counts for
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math-ph2015
Global Non-perturbative Deformation Quantization of a Poisson Algebra
Luther Rinehart
A proposed definition is given for the quantization of a Poisson algebra, taking the quantum product to be a geodesic on the manifold of associative products.
math-ph2015
Mathematical Foundations of Field Theory
Luther Rinehart
A mathematically rigorous Hamiltonian formulation for classical and quantum field theories is given. New results include clarifications of the structure of linear fields, and a pla…
math-ph2015
Classical Fermionic Dynamics
Luther Rinehart
The formulation of classical mechanics applicable to fermionic degrees of freedom is presented in mathematically rigorous terms, including a description of how the mathematical str…