Effect of the velocity-dependent potentials on the energy eigenvalues of the Morse potential

• Autorzy: Asim Soylu , Orhan Bayrak , Ismail Boztosun
• Języki publikacji: EN

Abstrakty

EN

We investigate the effect of the isotropic velocity-dependent potentials on the bound state energy eigenvalues of the Morse potential for any quantum states. When the velocity-dependent term is used as a constant parameter, ρ(r) = ρ 0, the energy eigenvalues can be obtained analytically by using the Pekeris approximation. When the velocity-dependent term is considered as an harmonic oscillator type, ρ(r) = ρ 0 r 2, we show how to obtain the energy eigenvalues of the Morse potential without any approximation for any n and ℓ quantum states by using numerical calculations. The calculations have been performed for different energy eigenvalues and different numerical values of ρ 0, in order to show the contribution of the velocity-dependent potential on the energy eigenvalues of the Morse potential.

Słowa kluczowe

EN

velocity-dependent potential; asymptotic iteration method; analytical solution; numerical solution; Schrödinger equation; Morse potential

• Czasopismo: Open Physics
• Rocznik: 2012
• Tom: 10
• Numer: 4
• Strony: 953-959

Daty

wydano

2012-08-01

online

2012-07-17

Twórcy

autor

Asim Soylu

• Department of Physics, Nigde University, 51240, Nigde, Turkey

autor

Orhan Bayrak

• Department of Physics, Akdeniz University, 07058, Antalya, Turkey,

autor

Ismail Boztosun

• Department of Physics, Akdeniz University, 07058, Antalya, Turkey

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Identyfikatory

DOI

10.2478/s11534-012-0018-y