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 Numerical ranges of unbounded operators arising in quantum physics
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/5773

title: Numerical ranges of unbounded operators arising in quantum physics
authors: Bebiano, N.
Lemos, R.
Da Providência, J.
keywords: Numerical range
Unbounded linear operator
issue date: 2004
abstract: Creation and annihilation operators are used in quantum physics as the building blocks of linear operators acting on Hilbert spaces of many body systems. In quantum physics, pairing operators are defined in terms of those operators. In this paper, spectral properties of pairing operators are studied. The numerical ranges of pairing operators are investigated. In the context of matrix theory, the results give the numerical ranges of certain infinite tridiagonal matrices. © 2003 Published by Elsevier Inc.
URI: http://hdl.handle.net/10773/5773
ISSN: 0024-3795
source: Linear Algebra and Its Applications
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