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Compact Approximation Methods for Neutrino Oscillations in Matter.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Compact Approximation Methods for Neutrino Oscillations in Matter./
Author:	Zhang, Xining.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
Description:	98 p.
Notes:	Source: Dissertations Abstracts International, Volume: 83-01, Section: B.
Contained By:	Dissertations Abstracts International83-01B.
Subject:	Physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28498376
ISBN:	9798516959318

Compact Approximation Methods for Neutrino Oscillations in Matter.
Zhang, Xining.

Compact Approximation Methods for Neutrino Oscillations in Matter. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 98 p.

Source: Dissertations Abstracts International, Volume: 83-01, Section: B.

Thesis (Ph.D.)--The University of Chicago, 2021.

This item must not be sold to any third party vendors.

This dissertation presents a series of compact perturbative methods to calculate neutrino oscillations in matter with uniform density. In the method we implement multiple rotations to figure out zeroth order approximations. The rotations are able to resolve zeroth order degeneracy so the higher order corrections can converge for the complete matter potential versus baseline divided by neutrino energy plane. The rotations also diminish scales of perturbative terms of the Hamiltonian operator. The expansion parameter used in the method is not a constant. Its scale can be restricted to be smaller than ratio of the solar to the atmospheric $\\Delta m.

ISBN: 9798516959318Subjects--Topical Terms:

516296
Physics.
Subjects--Index Terms:

Matter effect

Compact Approximation Methods for Neutrino Oscillations in Matter.
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020 $a 9798516959318
035 $a (MiAaPQ)AAI28498376
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100 1 $a Zhang, Xining. $3 3680698
245 1 0 $a Compact Approximation Methods for Neutrino Oscillations in Matter.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 98 p.
500 $a Source: Dissertations Abstracts International, Volume: 83-01, Section: B.
500 $a Advisor: Parke, Stephen.
502 $a Thesis (Ph.D.)--The University of Chicago, 2021.
506 $a This item must not be sold to any third party vendors.
520 $a This dissertation presents a series of compact perturbative methods to calculate neutrino oscillations in matter with uniform density. In the method we implement multiple rotations to figure out zeroth order approximations. The rotations are able to resolve zeroth order degeneracy so the higher order corrections can converge for the complete matter potential versus baseline divided by neutrino energy plane. The rotations also diminish scales of perturbative terms of the Hamiltonian operator. The expansion parameter used in the method is not a constant. Its scale can be restricted to be smaller than ratio of the solar to the atmospheric $\\Delta m.
520 $a 2$ globally. In vacuum the expansion parameter is strictly equal to zero, thus the zeroth order approximations return to the exact vacuum values. We use analytic derivations and numerical tests to prove the favorable properties. Moreover, the zeroth order eigenvalues of the Hamiltonian (differences of neutrino mass squares) can be inserted into a recently rediscovered identity which relates a Hermitian operator's eigenvalues to eigenvectors to give simple and symmetric expressions of the mixing angles and CP phase with extraordinary precision. Finally, the method can be extended from the standard three flavors neutrino scheme to a scheme with one more sterile neutrino, with its advantages inherited.
590 $a School code: 0330.
650 4 $a Physics. $3 516296
650 4 $a Particle physics. $3 3433269
650 4 $a Materials science. $3 543314
650 4 $a Conventions. $3 3562375
650 4 $a Sensors. $3 3549539
650 4 $a Dissertations & theses. $3 3560115
650 4 $a Eigen values. $3 3680699
650 4 $a Approximation. $3 3560410
650 4 $a Numerical analysis. $3 517751
650 4 $a Probability. $3 518898
650 4 $a Methods. $3 3560391
650 4 $a Energy. $3 876794
653 $a Matter effect
653 $a Neutrino oscillation
653 $a Compact perturbative methods
690 $a 0605
690 $a 0798
690 $a 0794
690 $a 0791
710 2 $a The University of Chicago. $b Physics. $3 2102881
773 0 $t Dissertations Abstracts International $g 83-01B.
790 $a 0330
791 $a Ph.D.
792 $a 2021
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28498376