ROBERTSON–SCHRÖDINGER INTELLIGENT STATES FOR TWO-BODY CALOGERO MODEL

2 1 Se p 20 04 Robertson - Schrödinger intelligent states for two - body Calogero model

Using the Gazeau-Klauder and Klauder-Perelomov coherent states , we derive the Robertson-Schrödinger intelligent states for two-body Calogero quantum system.

Deformation of two body quantum Calogero-Moser-Sutherland models

The possibility of deformation of two body quantum Calogero-Moser-Sutherland models is studied. Obtained are some necessary conditions for the singular locus of the potential function. Such locus is determined if it consists of two, three or four lines. Furthermore, a new deformation of elliptic B2 type Calogero-Moser-Sutherland model is explicitly constructed.

Padé Phenomenology for Two-Body Bound States

Exponential and Laguerre Squeezed States for su(1,1) Algebra and Calogero-Sutherland Model

A class of squeezed states for the su(1,1) algebra is found and expressed by the exponential and Laguerre-polynomial operators acting on the vacuum states. As a special case it is proved that the Perelomov’s coherent state is a ladder-operator squeezed state and therefore a minimum uncertainty state. The theory is applied to the two-particle Calogero-Sutherland model. We find some new squeezed ...

Supercoherent States of Calogero-sutherland Oscillator

Supersymmetric quantum mechanical model of Calogero-Sutherlend singular oscillator is constructed. Supercoherent states are defined with the help of supergroup displacement operator. They are proper states of a fermionic annihilation operator. Their coordinate and superholomorphic representations are considered. The supermeasure on superunit disc which realizes the resolution of the unity is ca...