Exact solution of the Schrodinger equation for the modified Kratzer's molecular potential with position-dependent mass


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Sever R., TEZCAN C.

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, vol.17, no.7, pp.1327-1334, 2008 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 7
  • Publication Date: 2008
  • Doi Number: 10.1142/s0218301308010428
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1327-1334
  • Keywords: Morse potential, Kratzer potential, position-dependent mass, point canonical transformation, effective mass Schrodinger equation, MAGNETIC RESONANCES, QUANTUM-SYSTEMS, GENERATION, STATES

Abstract

Exact solutions of Schrodinger equation are obtained for the modified Kratzer and the corrected Morse potentials with the position-dependent effective mass. The bound state energy eigenvalues and the corresponding eigenfunctions are calculated for any angular momentum for target potentials. Various forms of point canonical transformations are applied.