Complete non-relativistic bound state solutions of the Tietz-Wei potential via the path integral approach

  title={Complete non-relativistic bound state solutions of the Tietz-Wei potential via the path integral approach},
  author={Abdellah Khodja and A. Kadja and F Benamira and L. Gu{\'e}chi},
  journal={The European Physical Journal Plus},
Abstract.In this work, the bound state problem of some diatomic molecules in the Tietz-Wei potential with varying shapes is correctly solved by means of path integrals. Explicit path integration leads to the radial Green’s function in closed form for three different shapes of this potential. In each case, the energy equation and the wave functions are obtained from the poles of the radial Green’s function and their residues, respectively. Our results prove the importance of the optimization… 

Comment on “Approximate Analytical Versus Numerical Solutions of Schrödinger Equation Under Molecular Hua Potential”

We present arguments proving that the results obtained by Hassanabadi and coworkers in the study of the D-dimensional Schr\"odinger equation with molecular Hua potential through the supersymmetry

Quantum vibrational resonance in a dual-frequency-driven Tietz-Hua quantum well.

It is shown that in the absence of the high-frequency component of the applied fields, |s|^{2} shows a distinct sequence of resonances, whereas an increase in the amplitude of thehigh-frequency field induces minima in |s |^{2}, where it may be considered otherwise weak in the low-frequency regime.



Exact path integral treatment of a diatomic molecule potential

A rigorous evaluation of the path integral for Green’s function associated with a four-parameter potential for a diatomic molecule is presented. A closed form of Green’s function is obtained for

Variational wave functions for a screened Coulomb potential

Using solutions to a Hulth\`en-like effective potential as variational trail functions we have calculated the energy levels of the nonzero angular momentum states of the static screened Coulomb

Eigensolution techniques, their applications and Fisherʼs information entropy of the Tietz–Wei diatomic molecular model

In this study, the approximate analytical solutions of Schrödinger, Klein–Gordon and Dirac equations under the Tietz–Wei (TW) diatomic molecular potential are represented by using an approximation

Path integral solutions for Klein–Gordon particle in vector plus scalar generalized Hulthén and Woods–Saxon potentials

The Green’s function for a Klein–Gordon particle under the action of vector plus scalar deformed Hulthen and Woods–Saxon potentials is evaluated by exact path integration. Explicit path integration

The rotation–vibration spectrum of diatomic molecules with the Tietz–Hua rotating oscillator and approximation scheme to the centrifugal term

The Tietz–Hua (TH) potential is one of the very best analytical model potentials for the vibrational energy of diatomic molecules. By using the Nikiforov–Uvarov method and Pekeris approximation to

Spectroscopic study of some diatomic molecules via the proper quantization rule

Spectroscopic techniques are very essential tools in studying electronic structures, spectroscopic constants and energetic properties of diatomic molecules. These techniques are also required for

The construction of ladder operators and coherent states for the Wei Hua anharmonic oscillator using the supersymmetric quantum mechanics

The unknown ladder operators for the Wei Hua potential have been derived within the algebraic approach. The method is extended to include the rotating oscillator. The annihilation and creation

Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels

An exact solution is obtained for the Schroedinger equation representing the motions of the nuclei in a diatomic molecule, when the potential energy function is assumed to be of a form similar to

Four-parameter exactly solvable potential for diatomic molecules.

A four-parameter potential function is introduced for bond-stretching vibration of diatomic molecules. It may fit the experimental RKR (Rydberg-Klein-Rees) curve more closely than the Morse function,