$$ \newcommand\Tr{\mathrm{Tr}} \newcommand{\braket}[2]{\langle #1 \mid #2 \rangle} \newcommand\I{\mathbb{I}} \newcommand{\avg}[1]{\left< #1 \right>} \newcommand{\RD}{D} \newcommand{\ri}{\mathrm{i}} \DeclareMathOperator{\sign}{sign} \DeclareMathOperator{\Sign}{Sign} \newcommand{\ii}{\mathrm i} \newcommand{\vv}{\mathrm v} \newcommand{\ff}{\mathrm f} \newcommand{\mm}{\mathrm m} \newcommand{\ee}{\mathrm e} \newcommand{\xx}{\mathrm x} \newcommand{\RR}{\mathrm R} \newcommand{\dd}{\mathrm d} \newcommand{\FF}{\mathrm F} \newcommand{\BB}{\mathrm B} \newcommand{\vph}{v_{\mathrm{ph}}} $$
Neutrino Oscillations

Organization of the Book

The rest of the book is organized as follows. In Chapter General Principles of Neutrino Oscillations, I will review neutrino oscillations in vacuum and in environments with smooth matter density profiles. In Chapter Neutrino Oscillations with Oscillatory Matter Profiles, I will discuss my work on neutrino oscillations in oscillatory matter profiles, which can be decomposed into Fourier modes. The neutrino oscillations in such oscillatory profiles can be interpreted as a superposition of Rabi oscillations. In Chapter Collective Neutrino Oscillations, I will first review how neutrino self-interactions can cause a dense neutrino medium to oscillate collectively. Then I will discuss my study on the dispersion relations of the collective modes of neutrino oscillations.

I will also discuss a preliminary work on neutrino oscillations when both forward and backward neutrino fluxes are present. In Chapter Conclusions and Future Work, I will summarize my work and discuss possible future directions of the field.

Edit this page on GitHub

← Supernova Neutrinos
General Principles of Neutrino Oscillations →