EXACTLY SOLVABLE EFFECTIVE MASS D-DIMENSIONAL SCHRODINGER ¨ EQUATION FOR PSEUDOHARMONIC AND MODIFIED KRATZER PROBLEMS
نوع المنشور
بحث أصيل
المؤلفون
  • Sameer M. Ikhdair
  • RAMAZAN SEVER

The point canonical transformation (PCT) approach is used to solve the Schr¨odinger equation for an arbitrary dimension D with a power-law position-dependent effective mass (PDEM) distribution function for the pseudoharmonic and modified Kratzer (Mietype) diatomic molecular potentials. In mapping the transformed exactly solvable Ddimensional (D ≥ 2) Schr¨odinger equation with constant mass into the effective mass equation by using a proper transformation, the exact bound state solutions including the energy eigenvalues and corresponding wave functions are derived. The well-known pseudoharmonic and modified Kratzer exact eigenstates of various dimensionality is manifested.

المجلة
العنوان
Vol. 20, No. 3 361–372
الناشر
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بلد الناشر
فلسطين
نوع المنشور
Both (Printed and Online)
المجلد
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السنة
2009
الصفحات
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