Spectral Theory in Mathematical Physics

We apply the asymptotic iteration method (AIM) [J. Phys. A: Math. Gen. 36, 11807 (2003)] to solve new classes of second-order homogeneous linear differential equation. In particular, solutions are found for a general class of eigenvalue problems which includes Schroedinger problems with Coulomb, harmonic oscillator, o…

• HAKAN ÇİFTCİ

In this article, we present the analytical solution of the radial Schr\"{o}dinger equation for the Hulth\'{e}n potential within the framework of the asymptotic iteration method by using an approximation to the centrifugal potential for any $l$ states. We obtain the energy eigenvalues and the corresponding eigenfunctio…

• İSMAİL BOZTOSUN
• ORHAN BAYRAK

In this article, we present the analytical solution of the radial Schr\"{o}dinger equation for the Hulth\'{e}n potential within the framework of the asymptotic iteration method by using an approximation to the centrifugal potential for any $l$ states. We obtain the energy eigenvalues and the corresponding eigenfunctio…

• GÖKHAN KOÇAK
• İSMAİL BOZTOSUN

In this article, we present the analytical solution of the radial Schr\"{o}dinger equation for the Hulth\'{e}n potential within the framework of the asymptotic iteration method by using an approximation to the centrifugal potential for any $l$ states. We obtain the energy eigenvalues and the corresponding eigenfunctio…

• İSMAİL BOZTOSUN

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• MURAT ALTUNBULAK

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• OKAN ÖZER

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• BÜLENT GÖNÜL

For non-zero ℓ values, we present an analytical solution of the radial Schrödinger equation for the rotating Morse potential using the Pekeris approximation within the framework of the asymptotic iteration method. The bound state energy eigenvalues and corresponding wavefunctions are obtained for a number of diatomic…

• İSMAİL BOZTOSUN
• ORHAN BAYRAK

For non-zero ℓ values, we present an analytical solution of the radial Schrödinger equation for the rotating Morse potential using the Pekeris approximation within the framework of the asymptotic iteration method. The bound state energy eigenvalues and corresponding wavefunctions are obtained for a number of diatomic…

• İSMAİL BOZTOSUN

The general solutions of the Schrödinger equation for a non-central potential are obtained by using the Nikiforov–Uvarov method. The Schrödinger equation with general non-central potential is separated into radial and angular parts, and energy eigenvalues and eigenfunctions are derived analytically. By making special…

• FEVZİYE YAŞUK

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• BİLLUR KAYMAKÇALAN

The general solutions of the Schrödinger equation for a non-central potential are obtained by using the Nikiforov–Uvarov method. The Schrödinger equation with general non-central potential is separated into radial and angular parts, and energy eigenvalues and eigenfunctions are derived analytically. By making special…

• AYŞE BERKDEMİR