Classical properties of generalized coherent states: from phase-space dynamics to Bell's inequality
Abstract
Description
We review classical properties of harmonic-oscillator coherent states. Then we discuss which of these classical properties are preserved under the group-theoretic generalization of coherent states. We prove that the generalized coherent states of quantum systems with Lie-group symmetries are the unique Bell states, i.e., the pure quantum states preserving the fundamental classical property of satisfying Bell's inequality upon splitting.
LaTeX2e, amssymb style, 11 pages, 1 figure. Presented at 2nd Jagna International Workshop ``Mathematical Methods of Quantum Physics'', January 1998, Jagna, Philippines. To be published in a Festschrift for Professor Hiroshi Ezawa (Gordon & Breach, London)
LaTeX2e, amssymb style, 11 pages, 1 figure. Presented at 2nd Jagna International Workshop ``Mathematical Methods of Quantum Physics'', January 1998, Jagna, Philippines. To be published in a Festschrift for Professor Hiroshi Ezawa (Gordon & Breach, London)