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Recursive parametrization and invariant phases of unitary matrices

Jarlskog, Cecilia LU (2006) In Journal of Mathematical Physics 47(1).
Abstract
We present further properties of a previously proposed recursive scheme for parametrization of n-by-n unitary matrices. We show that the factors in the recursive formula may be introduced in any desired order. The method is used to study the invariant phases of unitary matrices. The case of four-by-four unitary matrices is investigated in detail. We also address the question of how to construct symmetric unitary matrices (i.e., unitary matrices U that satisfy the condition U-ij=U-ji) using the recursive approach. (c) 2006 American Institute of Physics.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Mathematical Physics
volume
47
issue
1
publisher
American Institute of Physics (AIP)
external identifiers
  • wos:000235015000025
  • scopus:31644437964
ISSN
0022-2488
DOI
10.1063/1.2159069
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
id
4620bc0f-dc1e-4b00-b9aa-eb6ea2e5695c (old id 418135)
date added to LUP
2016-04-01 15:33:57
date last changed
2020-06-10 03:43:38
@article{4620bc0f-dc1e-4b00-b9aa-eb6ea2e5695c,
  abstract     = {We present further properties of a previously proposed recursive scheme for parametrization of n-by-n unitary matrices. We show that the factors in the recursive formula may be introduced in any desired order. The method is used to study the invariant phases of unitary matrices. The case of four-by-four unitary matrices is investigated in detail. We also address the question of how to construct symmetric unitary matrices (i.e., unitary matrices U that satisfy the condition U-ij=U-ji) using the recursive approach. (c) 2006 American Institute of Physics.},
  author       = {Jarlskog, Cecilia},
  issn         = {0022-2488},
  language     = {eng},
  number       = {1},
  publisher    = {American Institute of Physics (AIP)},
  series       = {Journal of Mathematical Physics},
  title        = {Recursive parametrization and invariant phases of unitary matrices},
  url          = {http://dx.doi.org/10.1063/1.2159069},
  doi          = {10.1063/1.2159069},
  volume       = {47},
  year         = {2006},
}