English

Ladder operators and coherent states for continuous spectra

Mathematical Physics 2015-05-13 v2 math.MP

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.

Keywords

Cite

@article{arxiv.0906.1251,
  title  = {Ladder operators and coherent states for continuous spectra},
  author = {Joseph Ben Geloun and John R. Klauder},
  journal= {arXiv preprint arXiv:0906.1251},
  year   = {2015}
}

Comments

Typos corrected

R2 v1 2026-06-21T13:10:21.508Z