Generalized intelligent states for an arbitrary quantum system

2001/06/22 by A. H. El Kinani, A. H. EL Kinani, M. Daoud
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #quant-ph

paper · pdf · doi:10.1088/0305-4470/34/26/307

published as J.Phys.A : Math. Gen 43, 5373-5387(2001)

openalex publication_date 2001/06/22 · arxiv created 2003/11/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Generalized intelligent states (coherent and squeezed states) are derived for an arbitrary quantum system by using the minimization of the so-called Robertson-Schrödinger uncertainty relation. The Fock-Bargmann representation is also considered. As a direct illustration of our construction, the Pöschl-Teller potentials of trigonometric type will be chosen. We will show the advantage of the Fock-Bargmann representation in obtaining the generalized intelligent states in an analytical way. Many properties of these states are studied.

Citations

• Higher power squeezed states, Jacobi matrices, and the Hamburger moment problem
• Coherent states: Theory and some applications
• Physical Number-phase Intelligent and Minimum-uncertainty States of Light
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• A family of complex potentials with real spectrum
• The Quantum Theory of Optical Coherence

Cited by

• Coherent states à la Klauder–Perelomov for the Pöschl–Teller potentials
• A GENERALIZED JAYNES–CUMMINGS MODEL: NONLINEAR DYNAMICAL SUPERALGEBRA u(1/1) AND SUPERCOHERENT STATES