Arbitrary l-state solutions of the Schrödinger equation for the Eckart potential with an improved approximation of the centrifugal term

• Autorzy: Jerzy Stanek
• Języki publikacji: EN

Abstrakty

EN

Applying an improved approximation scheme to the centrifugal term, the approximate analytical solutions of the Schrödinger equation for the Eckart potential are presented. Bound state energy eigenvalues and the corresponding eigenfunctions are obtained in closed forms for the arbitrary radial and angular momentum quantum numbers, and different values of the screening parameter. The results are compared with those obtained by the other approximate and numerical methods. It is shown that the present method is systematic, more efficient and accurate.

Słowa kluczowe

EN

bound states; Eckart potential; centrifugal term

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 6
• Strony: 1503-1508

Daty

wydano

2011-12-01

online

2011-10-15

Twórcy

autor

Jerzy Stanek

• Faculty of Chemistry, Adam Mickiewicz University, Grunwaldzka 6, 60-780, Poznań, Poland,

Bibliografia

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Identyfikatory

DOI

10.2478/s11534-011-0071-y