2 citations · 2 across the 6 of their papers we have counts for
6 papers
Radiation from an accelerating charge in a family of Rindler frames
Luther Rinehart
The generalization of the Larmor radiation formula in gravitational fields and with accelerating observers was obtained by Hirayama and others. We verify a special case of their re…
Elliptic operators on non-compact manifolds have closed range
Luther Rinehart
We show that a second-order elliptic differential operator , on any manifold , has closed range in . If has no compact components, then is surjective on…
Eigenstates of C*-Algebras
Luther Rinehart
We introduce the notion of eigenstate of an operator in an abstract C*-algebra, and prove several properties. Most significantly, if the operator is self-adjoint, then every elemen…
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.
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…
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…