Approximate solutions of Schrodinger equation and expectation values of Inversely Quadratic Hellmann-Kratzer (IQHK) potential

Onyenegecha, Chibueze P.; Okereke, C. J.; Njoku, I. J.; Madu, C. A.; Ndubuisi, R. U.; Nwajeri, Ugochukwu Kizito

doi:10.1140/epjp/s13360-021-02315-w

Cited by 8 publications

(1 citation statement)

References 36 publications

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“…Recently, many authors have devoted interest to investigating the approximate bound state solutions of the Schrödinger equation with a linear combination of known potentials like the inversely quadratic Hellmann and Kratzer (IQHK) potentials [20], Hulthén-Hellmann potentials [21], Manning-Rosen plus Hellmann potential [22], Hua plus modified Eckart potential [23], the modified Mobius square plus Hulthén potential [24], the modified Mobius square plus Kratzer potential [25], q-deformed Hulthén plus generalized inverse quadratic Yukawa potential [26], Hulthén-screened Kratzer potential [27].…”

Section: Introductionmentioning

confidence: 99%

Non-relativistic bound state solutions of a linear combination of deformed Hulthén plus generalized Kratzer potentials using Feynman path integral approach

Sadoun

Haddad

2023

Preprint

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The approximate bound state solutions of Schrödinger equation with linear combination of a q-deformed Hulthén potential plus screened Kratzer potential were obtained with the help of appropriate approximation to evaluate the centrifugal term. The Feynman path integral approach was used to obtain the analytical solutions. The energy spectrum and the normalized wave functions of the bound states are derived from the poles of the Green’s function and its residues. Particular cases of these potentials are also discussed briefly and it is found that obtained results are in good agreement with those obtained in the literature.

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