84 citations · 171 across the 5 of their papers we have counts for
5 papers
Fibonacci Fast Convergence for Neutrino Oscillations in Matter
Peter B. Denton, Stephen J. Parke, Xining Zhang
Understanding neutrino oscillations in matter requires a non-trivial diagonalization of the Hamiltonian. As the exact solution is very complicated, many approximation schemes have…
Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra
Peter B. Denton, Stephen J. Parke, Terence Tao +1
If is an Hermitian matrix with eigenvalues and , then the component of a unit eigenvector …
Eigenvalues: the Rosetta Stone for Neutrino Oscillations in Matter
Peter B. Denton, Stephen J. Parke, Xining Zhang
We present a new method of exactly calculating neutrino oscillation probabilities in matter. We leverage the "eigenvector-eigenvalue identity" to show that, given the eigenvalues,…
Compact Perturbative Expressions for Oscillations with Sterile Neutrinos in Matter
Stephen J. Parke, Xining Zhang
We extend a simple and compact method for calculating the three flavor neutrino oscillation probabilities in uniform matter density to schemes with sterile neutrinos, with favorabl…
Rotations Versus Perturbative Expansions for Calculating Neutrino Oscillation Probabilities in Matter
Peter B. Denton, Stephen J. Parke, Xining Zhang
We further develop a simple and compact technique for calculating the three flavor neutrino oscillation probabilities in uniform matter density. By performing additional rotations…