Recursive parametrization and invariant phases of unitary matrices
(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:
https://lup.lub.lu.se/record/418135
- author
- Jarlskog, Cecilia LU
- organization
- publishing date
- 2006
- 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
- 2022-03-30 01:58:16
@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}},
}