Fibonacci Fast Convergence for Neutrino Oscillations in Matter
Abstract
Understanding neutrino oscillations in matter requires a nontrivial 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:

 Brookhaven
 Fermilab
 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) (SC25)
 OSTI Identifier:
 1569237
 Report Number(s):
 arXiv:1909.02009; FERMILABPUB19462T
oai:inspirehep.net:1752737
 DOE Contract Number:
 AC0207CH11359
 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 nontrivial 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}
}
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