l-Wave Solutions of Duffin-Kemmer-Petiau Equation in (1 + 3) Dimension in the Presence of Frost-Musulin Potential

Abstract

In this study, the analytical solutions of Duffin-Kemmer-Petiau equation in (1+3) Dimensions for spin-1 particles in the presence of Frost-Musulin potential were obtained. The standard method was used to obtain these solutions and an approach to the centripetal term was applied. Using the equations obtained, the bound state solutions are expressed in terms of Gaussian hypergeometric functions. Using the boundary conditions of wave functions, the equation giving the bound state energy eigenvalues for any l-state is derived. The bound state energy values for any l-state were determined numerically using the Mathematica software package. In addition, the effects of potential parameters on energy eigenvalues were examined graphically and numerically.

Keywords

• Duffin-Kemmer-Petiau Equation
• Frost-Musulin Potential
• Bound State Energy Eigenvalues
• Energy Eigenfunctions

Frost-Musulin Potansiyelinin Varlığında (1+3) Boyutta Duffin–Kemmer–Petiau Denkleminin l-Dalga Çözümleri

Abstract

Bu çalışmada, spin-1 parçacıklar için Frost-Musulin potansiyelinin varlığında (1+3) boyutta Duffin-Kemmer-Petiau denkleminin analitik çözümleri elde edilmiştir. Bu çözümleri elde edebilmek için standart yöntem kullanılmış ve merkezcil terime bir yaklaşım uygulanmıştır. Elde edilen bağıntılar kullanılarak bağlı durum çözümleri Gauss hipergeometrik fonksiyonlar cinsinden ifade edilmiştir. Dalga fonksiyonların sınır koşulları kullanılarak herhangi bir l-durumu için bağlı durum enerji özdeğerlerini veren bağıntı türetilmiştir. Mathematica yazılım paketi kullanılarak herhangi bir l-durumu için bağlı durum enerji değerleri nümerik olarak belirlenmiştir. Ayrıca potansiyel parametrelerinin enerji özdeğerlerine olan etkileri grafiksel ve sayısal olarak incelenmiştir.

Keywords

• Duffin-Kemmer-Petiau Denklemi
• Frost-Musulin Potansiyeli
• Bağlı Durum Enerji Özdeğerleri
• Enerji Özfonksiyonları

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