Exact Solutions of Schrodinger Equation in Cylindrical Coordinates for Double Ring-Shaped Coulomb Oscillator Potential Using SUSY QM Method

Ma’arif, M.; Супармі, A.; Cari, C.

doi:10.1088/1742-6596/1127/1/012005

Cited by 10 publications

(1 citation statement)

References 14 publications

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“…Subsequently, various methods have been applied to obtain the solutions of the nonrelativistic wave equations with a chosen potential model. Methods include the factorization method [6], functional analysis approach [7] [8] [9], supersymmetry quantum mechanics (SUSYQM) [10], Nikiforov-Uvarov method (NU) [11] [12] and others.…”

Section: Introductionmentioning

confidence: 99%

Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus <i>q</i>-Deformed Eckart Potential

Antia¹,

Okon²,

Akankpo³

et al. 2020

JAMP

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We have obtained approximate bound state solutions of Schrödinger wave equation with modified quadratic Yukawa plus q-deformed Eckart potential Using Parametric Nikiforov-Uvarov (NU) method. However, we obtained numerical energy eigenvalues and un-normalized wave function using confluent hypergeometric function (Jacobi polynomial). With some modifications, our potential reduces to a well-known potential such as Poschl-Teller and exponential inversely quadratic potential. Numerical bound state energies were carried out using a well-designed Matlab algorithm while the plots were obtained using origin software. The result obtained is in agreement with that of the existing literature.

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Section: Introductionmentioning

confidence: 99%

Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus <i>q</i>-Deformed Eckart Potential

Antia¹,

Okon²,

Akankpo³

et al. 2020

JAMP

View full text Add to dashboard Cite

show abstract

Bound state energy of spherical quantum dot with Yukawa potential influenced by static electric and magnetic fields

Bale¹,

Ma’arif²,

Супармі³

et al. 2019

International Conference on Science and Applied Science (Icsas) 2019

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Solution of time independent cosmic string using supersymmetry quantum mechanics method for trigonometric non-central potentials system

Cari

Anggraini

Супармі

et al. 2019

International Conference on Science and Applied Science (Icsas) 2019

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Exact Solutions of Schrodinger Equation in Cylindrical Coordinates for Double Ring-Shaped Coulomb Oscillator Potential Using SUSY QM Method

Cited by 10 publications

References 14 publications

Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus <i>q</i>-Deformed Eckart Potential

Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus <i>q</i>-Deformed Eckart Potential

Bound state energy of spherical quantum dot with Yukawa potential influenced by static electric and magnetic fields

Solution of time independent cosmic string using supersymmetry quantum mechanics method for trigonometric non-central potentials system

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Exact Solutions of Schrodinger Equation in Cylindrical Coordinates for Double Ring-Shaped Coulomb Oscillator Potential Using SUSY QM Method

Cited by 10 publications

References 14 publications

Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus &lt;i&gt;q&lt;/i&gt;-Deformed Eckart Potential

Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus &lt;i&gt;q&lt;/i&gt;-Deformed Eckart Potential

Bound state energy of spherical quantum dot with Yukawa potential influenced by static electric and magnetic fields

Solution of time independent cosmic string using supersymmetry quantum mechanics method for trigonometric non-central potentials system

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Product

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Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus <i>q</i>-Deformed Eckart Potential

Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus <i>q</i>-Deformed Eckart Potential