Numerical ranges of unbounded operators arising in quantum physics. (Q1430386)

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scientific article; zbMATH DE number 2069731
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Numerical ranges of unbounded operators arising in quantum physics.
scientific article; zbMATH DE number 2069731

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    Numerical ranges of unbounded operators arising in quantum physics. (English)
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    27 May 2004
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    Let \(f_i, g_i, (i=1,2)\) be the creation and annihilation operators. The {pairing} operator is given by \(B = cf_1g_1 +d f_2g_2 +kf_1f_2 +lg_1g_2\), with \(c,d,k,l \in \mathbb C\). In this paper, the eigenvalues and numerical ranges of pairing operators are studied.
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    numerical range
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    unbounded linear operator
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