KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Physics / 2019 / Cilt: 43 - Sayı: 4

Analytical solution of D-dimensional radial Schrödinger equation for sextic potential by the extended Nikiforov–Uvarov method and biconfluent Heun polynomials

HASİBE HALE KARAYER
Sayfa
410–416
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Therefore the eigenfunctionsolutions for the potential are attained in terms of biconfluent Heun polynomials when the condition of existenceof polynomial solution of BHE is provided simultaneously.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:D-dimensional radial Schrödinger equation (SE) for sextic potential is solved using the extended Nikiforov–Uvarov method analytically.
📊
Temel Bulgular & Veri:Energy eigenvalue and eigenfunction solutions are achieved systematically.
💡
Sonuç & Katkı:Therefore the eigenfunctionsolutions for the potential are attained in terms of biconfluent Heun polynomials when the condition of existenceof polynomial solution of BHE is provided simultaneously.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

D-dimensional radial Schrödinger equation (SE) for sextic potential is solved using the extended Nikiforov–Uvarov method analytically. Energy eigenvalue and eigenfunction solutions are achieved systematically. It is alsopresented that the D-dimensional radial SE is transformed to biconfluent Heun equation (BHE). Therefore the eigenfunctionsolutions for the potential are attained in terms of biconfluent Heun polynomials when the condition of existenceof polynomial solution of BHE is provided simultaneously.

🔖

Bu Makaleye Atıf Yap

KARAYER, H. H. (2019). Analytical solution of D-dimensional radial Schrödinger equation for sextic potential by the extended Nikiforov–Uvarov method and biconfluent Heun polynomials. Turkish Journal of Physics, Cilt: 43 - Sayı: 4, 410–416. https://ajindex.com/articles/377784

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (12)

  1. Znojil M. Exact solution for Morse oscillator in PT-symmetric quantum mechanics. Physics Letters A 1999
  2. 264 (1-2): 108-111. doi:10.1016/S0375-9601(99)00805-1 [2] Eğrifes H, Demirhan D, Büyükkılıç F. Exact solutions of the Schrödinger equation for two “deformed” hyperbolic molecular potentials. Physica Scripta 1999a
  3. 60 (3): 195-198. doi:10.1238/Physica.Regular.060a00195 [3] Eğrifes H, Demirhan D, Büyükkılıç F. Polynomial solutions of the Schrödinger equation for the ”deformed” hyperbolic potentials by Nikiforov-Uvarov method. Physica Scripta 1999b
  4. 59 (2): 90-94. doi:10.1238/Physica.Regular.059a00090 [4] Eğrifes H, Sever R. Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method. Physics Letters A 2005
  5. 344 (2-4), 117-126. doi:10.1016/j.physleta.2005.06.061 [5] Şimşek M, Eğrifes H. The Klein–Gordon equation of generalized Hulthen´ potential in complex quantum mechanics. Journal of Physics A: Mathematical and General 2004
  6. 37 (15): 4379-4393. doi:10.1088/0305-4470/37/15/007 [6] Yasuk F, Berkdemir C, Berkdemir A, Önem C. Exact solutions of the Duffin-Kemmer-Petiau equation for the deformed Hulthen potential. Physica Scripta 2005
  7. 71 (4): 340-343. doi:10.1238/physica.regular.071a00340 [7] Sever R, Tezcan C, Aktaş M, Yeşiltaş Ö. Exact solution of Schrödinger equation for Pseudoharmonic potential. Journal of Mathematical Chemistry 2008
  8. 43 (2): 845-851. doi:10.1007/s10910-007-9233-y [8] Aktaş M. Exact bound state solutions of the Schrödinger equation for noncentral potential via the Nikiforov-Uvarov method. International Journal of Theoretical Physics 2009
  9. 48 (7): 2154-2163. doi:10.1007/s10773-009-9993-1 [9] Ishkhanyan AM. Exact solution of the Schrödinger equation for a short-range exponential potential with inverse square root singularity. European Physical Journal Plus 2018
  10. 133 (3): 83-90. doi:10.1140/epjp/i2018-11912-5 [10] Dong SH. Wave Equations in Higher Dimensions. New York, NY, USA: Springer Netherlands, 2011. [11] Hassanabadi H, Zarrinkamar S, Rajabi1 AA. Exact solutions of D-dimensional Schroedinger equation for an energy-dependent potential by NU method. Communications in Theoretical Physics 2011
  11. 55 (4): 541-544. doi:10.1088/0253-6102/55/4/01 [12] Assi IA, Ikot AN, Chukwuocha EO. Solutions of the D-Dimensional Schrödinger Equation with the Hyperbolic Pöschl-Teller Potential plus Modified Ring-Shaped Term. Advances in High Energy Physics 2018
  12. doi:10.1155/2018/4536543 [13