Basic Properties of Coherent and Generalized Coherent Operators Revisited

Abstract

In this letter we make a brief review of some basic properties (the matrix elements, the trace, the Glauber formula) of coherent operators and study the corresponding ones for generalized coherent operators based on Lie algebra su(1,1). We also propose some problems.

Latex, 13 pages, a new result added

References in corpus (6)

• Holonomic Quantum Computation
• Non-Abelian Berry connections for quantum computation
• Optical Holonomic Quantum Computer
• Note on Coherent States and Adiabatic Connections, Curvatures
• More on Optical Holonomic Quantum Computer
• A Universal Disentangling Formula for Coherent States of Perelomov's Type

Cited by in corpus (8)

• Introduction to Coherent States and Quantum Information Theory
• N-Level System Interacting with Single Radiation Mode and Multi Cat States of Schrodinger in the Strong Coupling Regime
• Mathematical Structure of Rabi Oscillations in the Strong Coupling Regime
• Note on Extended Coherent Operators and Some Basic Properties
• Geometry of Coherent States : Some Examples of Calculations of Chern-Characters
• Geometry of Generalized Coherent States : Some Calculations of Chern Characters
• A class of vector coherent states defined over matrix domains
• On the Wave aspect of Relativistic Quantum Fields