The rotation‐vibration spectrum of diatomic molecules with the tietz‐hua rotating oscillator

Hamzavi, Majid; Rajabi, A. A.; Thylwe, Karl‐Erik

doi:10.1002/qua.23285

Cited by 28 publications

(56 citation statements)

References 27 publications

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“…While the comparison with Ref. for

{normalO}_{2}

and

{normalO}_{2}^{+}

, the agreement is up to five and four decimal places, respectively. For CO, the agreement between the oscillator result and Ref.…”

Section: Resultssupporting

confidence: 85%

“…In comparison to other molecular potentials, there is a visible lack of literature results for the TH oscillator potential. Our results are compared with the available data obtained by means of the GPS method and the parametrically generalized Nikiforov–Uvarov formalism . With the Nikiforov–Uvarov method, a solution of the radial Schrödinger equation for the TH potential has been obtained as a function of the quantum numbers

n

and

scriptℓ

.…”

Section: Resultsmentioning

confidence: 99%

“… up to six decimal places; while, deviations after 2–3 decimal places are encountered between present eigenvalues and those of Refs. , except for the cases of

n = 0

. Here, the agreement reaches up to five decimal places.…”

Section: Resultsmentioning

confidence: 99%

“…, the agreement is up to six decimal places, while when comparing with Ref. , the agreement is up to four decimal places.…”

Section: Resultsmentioning

confidence: 99%

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Dealing with the shifted and inverted Tietz–Hua oscillator potential using the J‐matrix method

Abdelmonem

Abdel-Hady

Nasser

2015

Int J of Quantum Chemistry

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The tridiagonal J-matrix approach has been used to calculate the low and moderately high-lying eigenvalues of the rotating shifted Tietz-Hua (RSTH) oscillator potential. , are calculated with high accuracy. Some of the energy states for molecules are reported here for the first time. The results of the last four molecules have been introduced for the first time using the oscillator basis. Higher accuracy is achieved by calculating the energy corresponding to the poles of the S-matrix in the complex energy plane using the J-matrix method. Furthermore, the bound states and the resonance energies for the newly proposed inverted Tietz-Hua IRSTH-potential are calculated for the H 2 -molecule with scaled depth. A detailed analysis of variation of eigenvalues with n, ' quantum numbers is made. Results are compared with literature data, wherever possible.

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“…While the comparison with Ref. for

{normalO}_{2}

and

{normalO}_{2}^{+}

, the agreement is up to five and four decimal places, respectively. For CO, the agreement between the oscillator result and Ref.…”

Section: Resultssupporting

confidence: 85%

n

and

scriptℓ

.…”

Section: Resultsmentioning

confidence: 99%

“… up to six decimal places; while, deviations after 2–3 decimal places are encountered between present eigenvalues and those of Refs. , except for the cases of

n = 0

. Here, the agreement reaches up to five decimal places.…”

Section: Resultsmentioning

confidence: 99%

“…, the agreement is up to six decimal places, while when comparing with Ref. , the agreement is up to four decimal places.…”

Section: Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Dealing with the shifted and inverted Tietz–Hua oscillator potential using the J‐matrix method

Abdelmonem

Abdel-Hady

Nasser

2015

Int J of Quantum Chemistry

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show abstract

“…The potentials studied in the present work and also other some exponentialtype potentials such as a ring-shaped Hùlthen, the Yukawa and Tietz-Hua potentials have been analyzed in details by using different methods [24][25][26][27][28][29][30]. We intend to use the Nikiforov-Uvarov method (NU) to analyze the bound states of the Dirac equation for the cases of pseudospin and spin symmetries.…”

Section: Introductionmentioning

confidence: 99%

Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential

Arda

Sever

2014

Zeitschrift Für Naturforschung A

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Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, Wei Hua potential and Varshni potential with any κ-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs (n, κ).

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Comment on “the rotation-vibration spectrum of diatomic molecules with the Tietz-Hua rotating oscillator”

Khodja

Benamira

Guéchi

2016

Int. J. Quantum Chem.

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We present arguments demonstrating that the application of the Nikiforov-Uvarov polynomial method to solve the Schrödinger equation with the Tietz-Hua potential is valid only when e −b h re ≤ c h < 1 and r0 < r < +∞. In particular, it is point out that the numerical results with c h = 0 for the diatomic molecules HF, N2, I2, H2, O2 and O + 2 given in Tables 3-5 by Hamzavi and co-workers are wrong. When −1 < c h < 0 or 0 < c h < e −b h re , this approach is not suitable. In both cases, it is shown that the solutions of the Schrödinger equation are expressed in terms of the generalized hypergeometric functions 2F1(a, b, c; z). The determination of the energy levels requires the solution of transcendental equations involving the hypergeometric function by means of the numerical procedure.

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The rotation‐vibration spectrum of diatomic molecules with the tietz‐hua rotating oscillator

Cited by 28 publications

References 27 publications

Dealing with the shifted and inverted Tietz–Hua oscillator potential using the J‐matrix method

Dealing with the shifted and inverted Tietz–Hua oscillator potential using the J‐matrix method

Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential

Comment on “the rotation-vibration spectrum of diatomic molecules with the Tietz-Hua rotating oscillator”

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