Xining Zhang

collaborators

5 papers

hep-ph2019

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…

math.RA2019

Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra

Peter B. Denton, Stephen J. Parke, Terence Tao +1

If $A$ is an $n \times n$ Hermitian matrix with eigenvalues $λ_{1} (A), \dots, λ_{n} (A)$ and $i, j = 1, \dots, n$ , then the $j^{th}$ component $v_{i, j}$ of a unit eigenvector $v_{i}$ …

hep-ph2019

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,…

hep-ph2019

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…

hep-ph2018

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…