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2011•International Journal of the Physical SciencesOpen access

Exact solutions of N-Dimensional Schrdinger equation for a potential containing coulomb and quadratic terms

HASSAN HASSANABADI, M. Hamzavi, S. Zarrinkamar, ALI AKBAR RAJABI

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Abstract

We encounter Coulomb and quadratic terms in the Hamiltonian relation in many branches of physics. Here we consider the N-dimensional space Schrodinger equation in the presence of Coulomb and quadratic terms and analytically calculate the eigenfunctions and the corresponding eigenenergies.   Key words: Schrodinger equation, N-dimension, Coulomb and quadratic potentials. PACS numbers: 02.30Em, 03.65.Fd and 03.65.Ge.

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What this paper is about

We encounter Coulomb and quadratic terms in the Hamiltonian relation in many branches of physics. Here we consider the N-dimensional space Schrodinger equation in the presence of Coulomb and quadratic terms and analytically calculate the eigenfunctions and the corresponding eigenenergies.   Key words: Schrodinger equation, N-dimension, Coulomb and quadratic potentials. PACS numbers: 02.30Em, 03.65.Fd and 03.65.Ge.

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Available abstract

We encounter Coulomb and quadratic terms in the Hamiltonian relation in many branches of physics. Here we consider the N-dimensional space Schrodinger equation in the presence of Coulomb and quadratic terms and analytically calculate the eigenfunctions and the corresponding eigenenergies.   Key words: Schrodinger equation, N-dimension, Coulomb and quadratic potentials. PACS numbers: 02.30Em, 03.65.Fd and 03.65.Ge.

Key concepts: Quadratic equation, Eigenfunction, Schrödinger equation, Coulomb, Hamiltonian (control theory), Dimension (graph theory), Coulomb wave function, Mathematical physics

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