Rotation and vibration of diatomic molecule in the spatially-dependent mass Schrodinger equation with generalized q-deformed Morse potential
arXiv:0904.4366 · doi:10.1016/j.chemphys.2009.04.023
Abstract
The analytic solutions of the spatially-dependent mass Schrodinger equation of diatomic molecules with the centrifugal term l(l+1)/r2 for the generalized q-deformed Morse potential are obtained approximately by means of a parametric generalization of the Nikiforov-Uvarov (NU) method combined with the Pekeris approximation scheme. The energy eigenvalues and the corresponding normalized radial wave functions are calculated in closed form with a physically motivated choice of a reciprocal Morse-like mass function, m(r)=m0/(1-deltae^{-a(r-r_{e})})2, 0<delta<1, where a and r_{e} are the range of the potential and the equilibrium position of the nuclei. The constant mass case when delta=0 is also studied. The energy states for H2, LiH, HCl and CO diatomic molecules are calculated and compared favourably well with those obtained by using other approximation methods for arbitrary vibrational n and rotational l quantum numbers.
26 pages
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- Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules
- Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term
- Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry
- Approximate k-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry
- Spin and pseudospin symmetry along with orbital dependency of the Dirac-Hulthen problem
- Exact Solution of Dirac Equation with Charged Harmonic Oscillator in Electric Field: Bound States
- Approximate energy states and thermal properties of a particle with position-dependent mass in external magnetic fields
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- The Rotation-Vibration Spectrum of Diatomic Molecules with the Tietz-Hua Rotating oscillator
- Particle resonance in the (1+1)-dimensional Dirac equation with kink-like vector potential and delta interaction
- Approximate analytic solutions of the diatomic molecules in the Schrodinger equation with hyperbolical potentials