A recursive parametrization of unitary matrices

Cecilia Jarlskog

doi:10.1063/1.2038607

A recursive parametrization of unitary matrices

Cecilia Jarlskog

Mathematical Physics

Research output: Contribution to journal › Article › peer-review

Abstract

A simple recursive scheme for parametrization of n-by-n unitary matrices is presented. The n-by-n matrix is expressed as a product containing the (n-1)-by-(n-1) matrix and a unitary matrix that contains the additional parameters needed to go from n-1 to n. The procedure is repeated to obtain recursion formulas for n-by-n unitary matrices.

Original language	English
Journal	Journal of Mathematical Physics
Volume	46
Issue number	10
DOIs	https://doi.org/10.1063/1.2038607
Publication status	Published - 2005

Bibliographical note

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)

Subject classification (UKÄ)

Physical Sciences

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10.1063/1.2038607

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title = "A recursive parametrization of unitary matrices",

abstract = "A simple recursive scheme for parametrization of n-by-n unitary matrices is presented. The n-by-n matrix is expressed as a product containing the (n-1)-by-(n-1) matrix and a unitary matrix that contains the additional parameters needed to go from n-1 to n. The procedure is repeated to obtain recursion formulas for n-by-n unitary matrices.",

author = "Cecilia Jarlskog",

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AB - A simple recursive scheme for parametrization of n-by-n unitary matrices is presented. The n-by-n matrix is expressed as a product containing the (n-1)-by-(n-1) matrix and a unitary matrix that contains the additional parameters needed to go from n-1 to n. The procedure is repeated to obtain recursion formulas for n-by-n unitary matrices.

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DO - 10.1063/1.2038607

M3 - Article

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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A recursive parametrization of unitary matrices

Abstract

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