D-dimensional energies for sodium dimer

Zhang, Guangdong; Zhou, Wen; Zhang, Liehui; Jia, Chun‐Sheng

doi:10.1016/j.chemphys.2014.05.014

Cited by 16 publications

(4 citation statements)

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“…This improved Tietz potential has also been obtained for diatomic molecules in [29]. The analytical solutions of the Schrödinger equation with this potential have been investigated [30,31]. Furthermore, applying Varshni's condition (5) gives:…”

Section: The Schiöberg-type Potentialmentioning

confidence: 99%

Path integral treatment of the deformed Schiöberg-type potential for some diatomic molecules

2017

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The bound state solution of the Feynman propagator with the deformed generalized Schiöberg potential is determined using an approximation of the centrifugal term. The energy eigenvalue expression is computed using Duru–Kleinert space–time transformation for both positive and negative deformation parameters of diatomic molecules. Besides, the rotation–vibration energy eigenvalues are numerically calculated for some diatomic molecules and compared with those given in the literature. The obtained results are in agreement with those given by state-of-the-art approximate and numerical methods.

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Section: The Schiöberg-type Potentialmentioning

confidence: 99%

Path integral treatment of the deformed Schiöberg-type potential for some diatomic molecules

2017

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“…We obtained the bound state energy, phase shift, and the normalized wave function in terms of hypergeometric functions. These results will be useful in quantum physics, quantum chemistry, and particle physics …”

Section: Discussionmentioning

confidence: 89%

Scattering state of the multiparameter potential with an improved approximation for the centrifugal term in D‐dimensions

Ikot

Ibanga

Hassanabadi

2015

Int J of Quantum Chemistry

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Recently, multi‐parameter potential has been introduced and had been discussed as special cases of other potential model, that is why we are interested to the study of such a potential. In order to study this potential, the D‐dimensional Schrödinger has been presented in detail and the scattering state with any arbitrary J‐state due to this potential has been investigated approximately. After this step, we have discussed analytically the scattering and bound state for some special cases in D‐dimensional situations which play important roles in physics. © 2015 Wiley Periodicals, Inc.

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“…2) and a decrease in the orbital angular momentum by one → − J J ( 1). This phenomenon exists for the D-dimensional nonrelativistic rotation-vibrational energies of the improved Manning-Rosen potential, improved Rosen-Morse potential and improved Tietz potential [54][55][56].…”

Section: Discussionmentioning

confidence: 89%

Solutions of the Klein–Gordon equation with the Morse potential energy model in higher spatial dimensions

Xie

Jia

2015

Phys. Scr.

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We solve the Klein-Gordon equation with the Morse potential energy model to obtain the relativistic bound state energy equation in D spatial dimensions. We find that the interdimensional degeneracy symmetry exists for the molecular system represented by the Morse potential model. For a fixed vibrational quantum number and various rotational quantum numbers, the relativistic energies for the X 1 Σ + state of the ScI molecule diverge as D increases. We observe that the behavior of the relativistic vibrational energies in higher dimensions remains similar to that of the three-dimensional system.

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D-dimensional energies for sodium dimer

Cited by 16 publications

References 50 publications

Path integral treatment of the deformed Schiöberg-type potential for some diatomic molecules

Path integral treatment of the deformed Schiöberg-type potential for some diatomic molecules

Scattering state of the multiparameter potential with an improved approximation for the centrifugal term in D‐dimensions

Solutions of the Klein–Gordon equation with the Morse potential energy model in higher spatial dimensions

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