Analisis Persamaan Energi Menggunakan Metode Parametrik Nikiforov-Uvarov Untuk Atom Berelektron Tunggal Dengan potensial Hulthen
DOI:
https://doi.org/10.52188/jpfs.v5i2.275Keywords:
Persamaan Energi, Potensial Hulthen, Metode Parametrik Nikiforov-UvarovAbstract
Solusi persamaan Schrodinger dari sistem partikel dapat memberikan infomasi karakteristik dari partikel tersebut. Solusi persamaan Schrodinger dapat memberikan persamaan gelombang dan persamaan energi dari partikel. Persamaan energi partikel diperoleh berdasarkan persamaan Schrodinger bagian radial. Penyelesaian persamaan Schrodinger yang melibatkan potensial khusus dilakukan dengan menggunakan metode aproksimasi. Salah satu potensial khusus dalam sistem atomik yang cukup penting adalah potensial Hulthen. Potensial Hulthen banyak dikaji dalam sistem molekuler serta pada kasus plasma pada atom hidrogen. Penyelesaian persamaan Schrodinger untuk atom berelektron tunggal dengan potensial Hulthen dapat diselesaikan dengan metode Parametrik Nikiforov-Uvarov. Metode Parametrik Nikiforov-Uvarov dipilih karena bentuk dari persamaan Schrodinger dari sistem dapat direduksi menjadi bentuk umum persamaan diferensial orde dua tipe hipergeometri. Penyelesaian persamaan energi sistem dilakukan dengan memisahkan bagian radial dari persamaan Schrodinger. Persamaan Schrodinger bagian radial yang telah dipisahkan mengandung suku potensial Hulthen dan suku persamaan energi. Persamaan Schrodinger bagian radial dirubah menjadi persamaan diferensial orde dua tipe hipergeometri yang mengandung parameter-parameter yang memenuhi Metode Parametrik Nikiforov-Uvarov. Dengan mensubstitusikan persamaan parameter ke dalam persamaan eigen nilai energi diperoleh persamaan energi partikel . Persamaan tingkat energi atom berelektron tunggal dengan potensial Hulthen yang telah diperoleh bergantung pada bilangan kuantum utama , serta screening parameter
References
Ahmed, S. A. S., & Buragohain, L. (2010). Exact S-wave Solution of Schr odinger Equation for Quantum Bound State Non-Power Law Systems. Bulg. J. Phys, 37, 133–143.
Akpan, I. O., Inyang, E. P., & William, E. S. (2021). Approximate solutions of the Schrödinger equation with Hulthén-Hellmann potentials for a quarkonium system. Revista Mexicana de Fisica, 67(3), 482–490. https://doi.org/10.31349/RevMexFis.67.482
Antia, A. D., Okon, I. B., Akankpo, A. O., & Usanga, J. B. (2020). Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus <i>q</i>-Deformed Eckart Potential. Journal of Applied Mathematics and Physics, 08(04), 660–671. https://doi.org/10.4236/jamp.2020.84051
Bahar, M. K., Soylu, A., & Poszwa, A. (2016). The Hulthén Potential Model for Hydrogen Atoms in Debye Plasma. IEEE Transactions on Plasma Science, 44(10), 2297–2306. https://doi.org/10.1109/TPS.2016.2604421
Berkdemir, C. (2012). Theoretical Concepts of Quantum Mechanics. In Theoretical Concepts of Quantum Mechanics. InTech. https://doi.org/10.5772/2075
Fitriani, S. N., & Suparmi. (2017). Solusi Persamaan Dirac Dengan Spin Simetri Untuk Potensial Scarf Ii Hiperbolik Terdeformasi-Q Plus Tensor Tipe Coulomb Dengan Menggunakan Metode Nikiforov Uvarov. Kappa Journal, 1(1), 13. https://doi.org/10.29408/kappa.v1i1.407
Ikhdair, S. M., & Falaye, B. J. (2013). Approximate analytical solutions to relativistic and nonrelativistic Pöschl-Teller potential with its thermodynamic properties. Chemical Physics, 421, 84–95. https://doi.org/10.1016/j.chemphys.2013.05.021
Ita, B. I., Louis, H., & Magu, T. O. (2017). Bound State Solutions of the Klein Gordon Equation with Woods-Saxon Plus Attractive Inversely Quadratic Potential Via Parametric Nikiforov-Uvarov Method. World Scientific News, 74, 280–287.
Nikiforov, A. F., & Uvarov, V. B. (1988). Special Functions of Mathematical Physics: A Unified Introduction with Applications.
Okon, I. B., Antia, A. D., Akankpo, A. O., & Essien, I. E. (2020). Eigen-Solutions to Schrodinger Equation with Trigonometric Inversely Quadratic Plus Coulombic Hyperbolic Potential. Physical Science International Journal, 24(3), 61–75. https://doi.org/10.9734/psij/2020/v24i330183
Okon, I. B., Omugbe, E., Antia, A. D., Onate, C. A., Akpabio, L. E., & Osafile, O. E. (2021). Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential. Scientific Reports, 11(1), 1–21. https://doi.org/10.1038/s41598-020-77756-x
Omugbe, E. (2020). Non-relativistic Energy Spectrum of the Deng-Fan Oscillator via the WKB Approximation Method. Asian Journal of Physical and Chemical Sciences, 26–36. https://doi.org/10.9734/ajopacs/2020/v8i130107
Onyenegecha, C. P., Njoku, I. J., Omame, A., Okereke, C. J., & Onyeocha, E. (2021). Dirac equation and thermodynamic properties with the Modified Kratzer potential. Heliyon, 7(9), e08023. https://doi.org/10.1016/j.heliyon.2021.e08023
Purohit, K. R., Parmar, R. H., & Rai, A. K. (2021). Energy and momentum eigenspectrum of the Hulthén-screened cosine Kratzer potential using proper quantization rule and SUSYQM method. Journal of Molecular Modeling, 27(12). https://doi.org/10.1007/s00894-021-04965-0
Siregar, R. E. (2018). Fisika Kuantum. Universitas Padjajaran.
Suparmi, A., Permatahati, L. K., Faniandari, S., Iriani, Y., & Marzuki, A. (2021). Study of Bohr Mottelson Hamiltonian with minimal length effect for Woods-Saxon potential and its thermodynamic properties. Heliyon, 7(5), e06861. https://doi.org/10.1016/j.heliyon.2021.e06861
Sutopo. (2005). Pengantar Fisika Kuantum. In Jurusan Fisika FMIPA UM. Jurusan Fisika FMIPA UM.
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