skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Fibonacci Fast Convergence for Neutrino Oscillations in Matter

Abstract

Understanding neutrino oscillations in matter requires a non-trivial diagonalization of the Hamiltonian. As the exact solution is very complicated, many approximation schemes have been pursued. Here we show that one scheme, systematically applying rotations to change to a better basis, converges exponentially fast wherein the rate of convergence follows the Fibonacci sequence. The results presented here are generally applicable to systems beyond neutrino oscillations as well.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Brookhaven
  2. Fermilab
  3. Chicago U., EFI
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1569237
Report Number(s):
arXiv:1909.02009; FERMILAB-PUB-19-462-T
oai:inspirehep.net:1752737
DOE Contract Number:  
AC02-07CH11359
Resource Type:
Journal Article
Journal Name:
TBD
Additional Journal Information:
Journal Name: TBD
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Denton, Peter B, Parke, Stephen J, and Zhang, Xining. Fibonacci Fast Convergence for Neutrino Oscillations in Matter. United States: N. p., 2019. Web.
Denton, Peter B, Parke, Stephen J, & Zhang, Xining. Fibonacci Fast Convergence for Neutrino Oscillations in Matter. United States.
Denton, Peter B, Parke, Stephen J, and Zhang, Xining. Wed . "Fibonacci Fast Convergence for Neutrino Oscillations in Matter". United States. https://www.osti.gov/servlets/purl/1569237.
@article{osti_1569237,
title = {Fibonacci Fast Convergence for Neutrino Oscillations in Matter},
author = {Denton, Peter B and Parke, Stephen J and Zhang, Xining},
abstractNote = {Understanding neutrino oscillations in matter requires a non-trivial diagonalization of the Hamiltonian. As the exact solution is very complicated, many approximation schemes have been pursued. Here we show that one scheme, systematically applying rotations to change to a better basis, converges exponentially fast wherein the rate of convergence follows the Fibonacci sequence. The results presented here are generally applicable to systems beyond neutrino oscillations as well.},
doi = {},
journal = {TBD},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {9}
}