Asimptotik İterasyon Metodu İle Bir Dış Elektromanyetik Alan İçerisindeki Skaler Parçacıkların Hareketinin İncelenmesi

Year 2020, , 853 - 868, 15.10.2020

Hasan Fatih Kışoğlu , Kenan Söğüt

https://doi.org/10.17714/gumusfenbil.663620

Cited By: 1

Abstract

Bu çalışmada, uzay-bağımlı elektrik ve manyetik
alanların varlığında, spinsiz parçacıkların enerji özdeğerleri ve dalga
fonksiyonları incelenmektedir. Çalışmada, dış alanların iki farklı yönelimi
için Schrödinger ve Klein-Gordon denklemleri Asimptotik İterasyon Metodu (AIM)
ile çözülmektedir. Elde edilen sonuçlar, Schrödinger ve Klein-Gordon
denklemlerinin enerji özdeğerleri karşılaştırılarak göreceli katkıları
görebilmek için, ilk birkaç kuantum seviyesi için, sayısal olarak tartışılmıştır.
Alanların paralel ve ortogonal yönelimlerinde ortaya çıkan denklemlerin kuantum
koşullarını göz önüne alarak, enerji seviyelerinin eğrisi elde edilmiştir.

Keywords

Asimptotik İterasyon Metodu, Dış Alanlar, Klein-Gordon Denklemi, Schrödinger Denklemi, Skaler Parçacıklar

Investigation of the Motion of Scalar Particles in an External Electromagnetic Field via Asymptotic Iteration Method

Abstract

In the
present article, we study the energy eigenvalues and wavefuntions of the
spinless particles in the existance of space-dependent electric and magnetic
fields. The investigation is performed for two different orientations of the
external fields by solving the Schrödinger and Klein-Gordon equations via
Asymptotic Iteration Method (AIM). The obtained results are discussed
numerically for first few quantum levels to understand the relativistic
contributions by comparing the energy eigenvalues of Schrödinger and
Klein-Gordon equations. By considering the quantum conditions for the resulting
equations in the case of parallel and orthogonal orientations of the fields, we
obtained the plots for the energy levels.

Keywords

Asymptotic Iteration Method, External Fields, Klein-Gordon Equation, Schrödinger Equation, Spinless Particles

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