Ladder operators and coherent states for continuous spectra

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.

Typos corrected

References in corpus (1)

• The Current State of Coherent States

Cited by in corpus (6)

• Coherent states for continuous spectrum operators with non-normalizable fiducial states
• Nonclassical properties of coherent states and excited coherent states for continuous spectra
• Quasiclassical Asymptotics and Coherent States for Bounded Discrete Spectra
• Coherent states for a system of an electron moving on plane
• Unitary maps on Hamiltonians of an electron moving in a plane and coherent states construction
• Coherent States of Systems with Pure Continuous Energy Spectra