Bound state solutions to the Schrödinger equation for some diatomic molecules

2020

We studied exact solutions and spectrum analysis of the pseudoharmonic oscillator in the presence of θ‐dependent scalar potential and the sum of two vector potentials Dirac magnetic monopole and Aharonov‐Bohm field. The effect of the Dirac magnetic monopole (g), Aharonov‐Bohm field (ℱ), the dissociation energy of diatomic molecules (D e), equilibrium intermolecular separation (r e), and the reduced mass (μ) on the energy spectrum for some diatomic molecules (CO, NO, N2, CH, H2, and ScH) are analyzed. We compared our results with theoretical experiments of pseudoharmonic oscillator potential in a molecular system.

\frac{n ((), n + 1)}{2}

.…”

Section: Resultsmentioning

confidence: 99%

“…In this case, we obtain the energy spectrum as

E_{nl} = normalℏ ω_{r} ((), 4 n + 2 + \sqrt{{(2 l + 1)}^{2} + \frac{8 μ}{{normalℏ}^{2}} D_{e} r_{e}^{2}}) - 2 D_{e}, l = 0, 1, 2, \dots, n,

which agrees with refs. , where

ω_{r} = \sqrt{\frac{D_{e}}{2 μ r_{e}^{2}}}

. For each energy level ( n , l ), there are 2 l + 1 degenerate states which differ in values of magnetic quantum number m .…”

Section: Analysis Of the Energy Spectrummentioning

confidence: 99%

“…The solutions of the Schrödinger equation for any l ‐state of such potentials are also important. The pseudoharmonic oscillator potential

D_{e} {(\frac{r}{r_{e}} - \frac{r_{e}}{r})}^{2}

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Exact wave functions are obtained for noncentral Kratzer potential in the presence of Aharonov‐Bohm flux field in terms of associate Laguerre and Jacobi polynomials. The exact form of Rényi entropy and generalized Rényi complexity are determined for positive integral order and , respectively. The narrowest confined and widest spread radial wave functions dominate the localization property of rotational wave functions for the optimum measure of Rényi entropy. The minimum and the maximum values of the Rényi entropy are found for the narrowest confined and widest spread radial wave functions, respectively. Conversely, the narrowest confined and widest spread rotational wave functions dominate the localization property of radial wave functions for the optimum measure of the generalized Rényi and shape Rényi complexities. If the generalized Rényi and shape Rényi complexities are minimum for the narrowest confined rotational wave function, then they will be maximum for the widest spread rotational wave function and vice versa.

Generalized quantum similarity index: An application to pseudoharmonic oscillator with isospectral potentials in 3D

Ghosh¹,

2020

Exact solutions of a pseudoharmonic oscillator and a family of isospectral potentials are investigated in spherical coordinates. The entropic moment, generalized quantum similarity index, and some quantum information measures are investigated analytically and numerically for two density functions of two quantum systems with same energy and one quantum system with different energies. Analytical results are compared for 19 selected molecules and verified by some physical and artificial values of the spectroscopic parameters.