SO(3)Algebraic Approach To The Morse Potential And Its Distribution Of Coherent States

We construct SO(3) algebra associated with the Morse potentials, and propose an algebraic approach to exactly solve the Morse potential without dealing with Schrodinger equation. We have shown that applying the different actions of the generators J3and J+,J_in representation of SO(3) algebra, the energy eigenvalues and corresponding eigenfunctions for bound states of the Morse potential can be obtained through SO(3) algebraic approach.The presented procedure in this work is simple and efficient. With the above considerations, we hope to simulate further examples of applications for the SO(3) algebraic approach in important problems of quantum physics.Coherent state is continuously distributed, with a complete, minimum uncertainty. Most of the coherent state, by demonstrating that BG coherent state can be drawn also to meet minimum uncertainty state of the relationship. Thus determining the Morse potential in BG distribution of coherent states, specific energy state distribution closer to the actual distribution. Group{b,b+,J3) constitute SO(3) algebraic polynomials and BG coherent states are engenstates of b,which can be SO(3) algebraic link with BG coherent, coherent state can be expanded by energy states. These solutions provide conditions for the distribution of coherent states for the Morse potential. When BG coherent state distributions were calculated using thermodynamical partition function,Husimi function,namely Q function,as well as the coherent state representation of the density operator.