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Parke, Stephen [Fermilab] (ORCID:0000000320286782)

Publications and source records attributed to Parke, Stephen [Fermilab] (ORCID:0000000320286782).

Next Generation Neutrino Oscillation Experiments: Challenges, Opportunities and New Physics

In the next 5+ years, three new neutrino oscillation experiments with be operating: JUNO, HyperK and DUNE. These three complementary experiments will expore the neutrino sector with unprecedented precision and detail. Most likely, neutrinos do not get their masses via the vanilla Higg's mechanism as for all other fermions, thus it is imperative that the neutrino sector be explored with similar precision as the quark sector. This talk will highlight the Challenges, Opportunities and Searches for Additional New Physics in these three experiments.

Parke, Stephen [Fermilab] (ORCID:0000000320286782)↗

The Eigenvector-Eigenvalue Identity and other pragmatic topics in linear algebra for physicists

Diagonalization of an Hermitian matrix is a common task in physics. All of us have diagonalized 2x2 matrices but few have diagonalized a 3x3 matrix algebraically except in special simplifying cases. In this colloquium, I will discuss the mathematics and methods for diagonalizing small, but larger than 2x2 marices, and discuss the recently rediscovered Eigenvector-Eigenvalue identity. As an explicit, pragmatic example I will use the propagation of neutrino's propagating through matter which is inherently a 3x3 problem.

Parke, Stephen [Fermilab] (ORCID:0000000320286782)↗