Elementary Proofs Of Two Theorems Involving Arguments Of Eigenvalues Of A Product Of Two Unitary Matrices

Autor:	Chau, H. F., Lam, Y. T.
Rok vydání:	2010
Předmět:	Quantum Physics Mathematical Physics Mathematics - Spectral Theory
Druh dokumentu:	Working Paper
Popis:	We give elementary proofs of two theorems concerning bounds on the maximum argument of the eigenvalues of a product of two unitary matrices --- one by Childs \emph{et al.} [J. Mod. Phys., \textbf{47}, 155 (2000)] and the other one by Chau [arXiv:1006.3614]. Our proofs have the advantages that the necessary and sufficient conditions for equalities are apparent and that they can be readily generalized to the case of infinite-dimensional unitary operators. Comment: 8 pages in Revtex 4.1 preprint format, to appear in Journal of Inequalities and Applications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1006.3978 Zobrazit plný text záznamu View this record from Arxiv