arXiv:0906.1251 Abstract | arXiv Analytics

arXiv:0906.1251 [math-ph]Abstract References Reviews Resources

Ladder operators and coherent states for continuous spectra

Published 2009-06-06, updated 2009-08-03Version 2

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.

Comments: Typos corrected

DOI: 10.1088/1751-8113/42/37/375209

Categories: math-ph, math.MP

Keywords: coherent states, ladder operators, continuous spectra, annihilation operators, construction

Tags: journal article

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