Communications in Theoretical Physics

Completeness Relation of the SU(3) Charged and Hypercharged Coherent State

Fan Hong‐Yi, Hua Wei, Zou Hui

Published Jan 30, 1998• 2 citations

Abstract

Using the Mellin inversion formulas we derive the weight function for constructing the completeness relation of the boson SU(3) charged and hypercharged coherent state. A suitable contour integration is selected for this derivation.

DOI: 10.1088/0253-6102/29/1/105

Related papers

Applicationo f the Mellin Transformation in Proving the Completeness Relation. of the Charged Coherent State

Fan Hong‐Yi, Zou Hui

We show that the completeness relation of the charged coherent state can be obtained by using the Mellin transformation and contour integration method. As a result, a modification of the completeness relation of the charged coherent state given by . Bhaumik et al. (J. Phys. A: Math. Gen. 9 (1976) 1507) is presented.

Communications in Theoretical PhysicsApr 30, 20000 citations

Two-parameter deformed Fermion coherent state and SU(3) charged,hypercharged Fermion coherent state

Fang Yu

The q deformed Fermion coherent state was extended into the case of two parameters.The qs deformed Fermion coherent state and SU(3) charged,hypercharged Fermion coherent state have been constructed with the similar way of dealing with two parameter deformed Boson oscillator algebra.

Journal of Baoji University of Arts and SciencesJan 1, 20000 citations

SU q (3) CHARGED AND HYPERCHARGED q-COHERENT STATE

Yaping Yang, Zurong Yu

In this letter, the SU q (3) charged and hypercharged q-coherent states for both q-bosonic and q-fermionic cases are constructed with the help of q-bosonic and q-fermionic realizations.

Modern Physics Letters AFeb 28, 19960 citations

q -Analogue Charged Coherent State and SU(3) Charged, Hypercharged Coherent State

Hong-Yi Fan, Chang-Pu Sun

We generalise the conception of q -analogue coherent state to the cases of charged coherent state and charged, hypercharged coherent state. Their explicit expressions in the ordinary Fock space are derived.

Communications in Theoretical PhysicsMar 1, 19923 citations

NonlinearSU(3) charged and hypercharged coherent states

Hong-Yi Fan, Guichuan Yu

We introduce the nonlinear SU (3) charged and hypercharged bosonic coherent state in three-mode Fock space. It can be further recast into a compact exponential form. The fermionic case is also discussed.

Journal of Physics A Mathematical and GeneralJul 20, 20014 citations

Coherent States For SU(3)

Manu Mathur, Diptiman Sen

We define coherent states for SU(3) using six bosonic creation and annihilation operators. These coherent states are explicitly characterized by six complex numbers with constraints. For the completely symmetric representations (n,0) and (0,m), only three of the bosonic operators are required. For mixed representations (n,m), all six operators are required. The coherent states provide a resolution of identity, satisfy the continuity property, and possess a variety of group theoretic properties. We introduce an explicit parameterization of the group SU(3) and the corresponding integration measure. Finally, we discuss the path integral formalism for a problem in which the Hamiltonian is a function of SU(3) operators at each site.

Dec 1, 200030 citations