The Experts below are selected from a list of 297 Experts worldwide ranked by ideXlab platform

Cuneyt Berkdemir - One of the best experts on this subject based on the ideXlab platform.

  • pseudospin symmetry in the relativistic Morse Potential including the spin orbit coupling term
    Nuclear Physics, 2006
    Co-Authors: Cuneyt Berkdemir
    Abstract:

    Abstract The pseudospin symmetry in the relativistic Morse Potential is investigated systematically by solving the Dirac equation with attractive scalar S ( r → ) and repulsive vector V ( r → ) Potentials. The spin–orbit coupling term of the Dirac equation is included to the solution by applying the Pekeris approximation. The analytical solutions for bound states of the Morse Potential with pseudospin symmetry are obtained by using the Nikiforov–Uvarov (NU) method. The eigenvalue spectrum for various levels is presented for the several pseudoorbital and pseudospin quantum numbers under the conditions of exact pseudospin-symmetry ( Σ = V + S = const ).

Anwar Al Rsheed - One of the best experts on this subject based on the ideXlab platform.

Shi-hai Dong - One of the best experts on this subject based on the ideXlab platform.

  • Series solutions of the Schrödinger equation with position-dependent mass for the Morse Potential
    Physics Letters A, 2004
    Co-Authors: Shi-hai Dong, Guo Hua Sun
    Abstract:

    Abstract The analytical solutions of the Schrodinger equation with position-dependent mass for the Morse Potential are obtained by the series expansion method. The Morse Potential and the position-dependent mass themselves are expanded in the series about the origin. As an example, the analytical series solutions of the Morse Potential with the position-dependent mass m = m 0 e λr are given.

  • The series solutions of the non-relativistic equation with the Morse Potential
    Physics Letters A, 2003
    Co-Authors: Shi-hai Dong, Guo Hua Sun
    Abstract:

    In this Letter the analytical solutions of the two-dimensional Schrodinger equation with the Morse Potential are obtained by the series expansion method. We then generalize this method to the D-dimensional Schrodinger equation case. The studied Morse Potential itself is expanded in the series about the origin.

  • The SU(2) realization for the Morse Potential and its coherent states
    Canadian Journal of Physics, 2002
    Co-Authors: Shi-hai Dong
    Abstract:

    A realization of the raising and lowering operators for the Morse Potential is presented. We show that these operators satisfy the commutation relations for the SU(2) group. Closed analytical expressions are derived for the matrix elements of different functions such as 1/y and d/dy. The harmonic limit of the SU(2) operators is also studied. The transition probability between two eigenstates produced by a harmonic perturbation as a function of the operators ±,0 is discussed. The average values of some observables in the coherent states |α > for the Morse Potential are also calculated. PACS Nos.: 02.30+b, 03.65Fd, 42.50Ar, and 33.10Cs

  • Ladder operators for the Morse Potential
    International Journal of Quantum Chemistry, 2002
    Co-Authors: Shi-hai Dong, Renato Lemus, Alejandro Frank
    Abstract:

    A realization of the raising and lowering operators for the Morse Potential is presented. It is shown that these operators satisfy the commutation relations for the SU(2) group. Closed analytical expressions are obtained for the matrix elements of different operators such as 1/y and d/dy. The harmonic limit of the SU(2) operators is also studied and an approach previously proposed to calculate the Franck–Condon factors is discussed. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001

  • Algebraic approach to the Morse Potential and its coherent states
    Zeitschrift für Physikalische Chemie, 2002
    Co-Authors: Shi-hai Dong
    Abstract:

    A realization of the ladder operators for the 1D Morse Potential is presented. These operators satisfy the SU(2) group. The case of anisotropic 3D Morse Potential is also discussed if it can be regarded as three 1D Morse Potential. The average values of some observables in the coherent states are also calculated.

Jian-you Guo - One of the best experts on this subject based on the ideXlab platform.

  • Resonant states and pseudospin symmetry in the Dirac-Morse Potential
    Physical Review A, 2013
    Co-Authors: Quan Liu, Zhong-ming Niu, Jian-you Guo
    Abstract:

    The complex scaling method is applied to study the resonances of a Dirac particle in a Morse Potential. The applicability of the method is demonstrated with the results compared with the available data. It is shown that the present calculations in the nonrelativistic limit are in excellent agreement with the nonrelativistic calculations. Further, the dependence of the resonant parameters on the shape of the Potential is checked, and the unusual sensitivity to the Potential parameters is revealed. By comparing the energies and widths of the pseudospin doublets, well pseudospin symmetry is discovered in the present model. The relationship between the pseudospin symmetry and the shape of the Potential is investigated by changing the Morse Potential shaped by the dissociation energy, the equilibrium intermolecular distance, and the positive number controlling the decay length of the Potential.

Chun-sheng Jia - One of the best experts on this subject based on the ideXlab platform.

  • Molecular Spinless Energies of the Modified Rosen-Morse Potential Energy Model
    Bulletin of the Korean Chemical Society, 2014
    Co-Authors: Chun-sheng Jia, Xiao-long Peng
    Abstract:

    We solve the Klein-Gordon equation with the modified Rosen-Morse Potential energy model. The bound state energy equation has been obtained by using the supersymmetric shape invariance approach. The relativistic vibrational transition frequencies for the 6 1 Πu state of the 7 Li2 molecule have been computed by using the modified Rosen-Morse Potential model. The calculated relativistic vibrational transition frequencies are in good agreement with the experimental RKR values.

  • Equivalence of the deformed Rosen–Morse Potential energy model and Tietz Potential energy model
    Journal of Mathematical Chemistry, 2013
    Co-Authors: Chun-sheng Jia, Tao Chen, Shu-rong Lin
    Abstract:

    By applying the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate an improved expression for the deformed Rosen–Morse Potential energy model. It is found that the deformed Rosen–Morse Potential model and the well-known Tietz Potential model are the same empirical Potential function for diatomic molecules. With the help of the energy spectrum expression of the deformed Rosen–Morse Potential model, we obtain exact closed-form expressions of diatomic anharmonicity constants \(\omega _e x_e \) and \(\omega _e y_e \).

  • equivalence of the deformed rosen Morse Potential energy model and tietz Potential energy model
    Journal of Mathematical Chemistry, 2013
    Co-Authors: Chun-sheng Jia, Tao Chen, Shu-rong Lin
    Abstract:

    By applying the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate an improved expression for the deformed Rosen–Morse Potential energy model. It is found that the deformed Rosen–Morse Potential model and the well-known Tietz Potential model are the same empirical Potential function for diatomic molecules. With the help of the energy spectrum expression of the deformed Rosen–Morse Potential model, we obtain exact closed-form expressions of diatomic anharmonicity constants \(\omega _e x_e \) and \(\omega _e y_e \).

  • equivalence of the deformed modified rosen Morse Potential energy model and the tietz Potential energy model
    Physica Scripta, 2013
    Co-Authors: Yu Sun, Chun-sheng Jia
    Abstract:

    By applying the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate an improved expression for the deformed modified Rosen–Morse Potential energy model. It is found that the deformed modified Rosen–Morse Potential model and the well-known Tietz Potential model are the same empirical Potential function for diatomic molecules. In terms of the energy spectrum expression of the deformed modified Rosen–Morse Potential model, we obtain exact closed-form expressions for diatomic anharmonicity constants ω e xe and ω e ye . The anharmonicity constants for the X1Σ+g state of the N2 molecule have been computed and compared with the observed data.

  • Equivalence of the deformed modified Rosen–Morse Potential energy model and the Tietz Potential energy model
    Physica Scripta, 2013
    Co-Authors: Yu Sun, Chun-sheng Jia
    Abstract:

    By applying the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate an improved expression for the deformed modified Rosen–Morse Potential energy model. It is found that the deformed modified Rosen–Morse Potential model and the well-known Tietz Potential model are the same empirical Potential function for diatomic molecules. In terms of the energy spectrum expression of the deformed modified Rosen–Morse Potential model, we obtain exact closed-form expressions for diatomic anharmonicity constants ω e xe and ω e ye . The anharmonicity constants for the X1Σ+g state of the N2 molecule have been computed and compared with the observed data.