EXAMINATION OF V(r) = -z/r plus gr plus lambda r(2) POTENTIAL IN THE PRESENCE OF MAGNETIC FIELD

Aygun M., ŞAHİN Y., BOZTOSUN İ.

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, cilt.19, sa.7, ss.1349-1356, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 7
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1142/s0218301310015783
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1349-1356
  • Anahtar Kelimeler: Asymptotic Iteration Method (AIM), magnetic field, eigenvalues, Coulomb potential plus linear and harmonic oscillator potentials, ASYMPTOTIC ITERATION METHOD, 2-DIMENSIONAL HYDROGENIC DONOR, L-STATE SOLUTIONS, ENERGY-SPECTRUM, QUANTUM DOTS, SCHRODINGER-EQUATION, ARBITRARY STRENGTH, EIGENVALUE PROBLEMS, COULOMB POTENTIALS, SCREENED DONOR
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

We present an alternative approach, the asymptotic iteration method, to solve the two-dimensional radial Schrodinger equation for V(r) = -z/r + gr + lambda r(2) potential in a magnetic field. The energy eigenvalues for arbitrary Larmor frequencies ranging from omega(L) = 0.1 to 10.0 are obtained and the results are compared with the nonmagnetic field case, omega(L) = 0, in order to show the effect of the presence of the weak and strong magnetic fields on the energy eigenvalues. It is shown that the method presented in this paper provides the energy eigenvalues in a systematic way not only in the weak magnetic field but also in the strong magnetic field regions with any Larmor frequencies.