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arXiv · 0906.1251

Ladder operators and coherent states for continuous spectra

Joseph Ben Geloun·John R. Klauder
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Abstract

The notion of ladder operators is introduced for systems with continuous spectra. We identify two different kinds of annihilation operators allowing the definition of coherent states as modified "eigenvectors" of these operators. Axioms of Gazeau-Klauder are maintained throughout the construction.

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Joseph Ben Geloun, John R. Klauder. 2009-08-03. Ladder operators and coherent states for continuous spectra. https://doi.org/10.1088/1751-8113%2F42%2F37%2F375209

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