Path Integral Yöntemiyle PT-/ PT-Simetrik ve Hermityen Olmayan q-deformasyonlu Trigonometrik Scarf Potansiyeli

Bu çalışmada Parite-Zaman (PT)-/ PT-Simetrik ve Hermityen Olmayan q-deformasyonlu Trigonometrik Scarf Potansiyelinin enerji spektrumu ve karşılık gelen dalga fonksiyonu Path Integral yöntemi kullanılarak elde edilmiştir. P ve T burada parite ve zaman işlemcilerine karşılık gelmektedir. Öncelikle bu potansiyelin kerneli parametrik zaman kullanılarak enerji spektrumu ve dalga fonksiyonu cinsinden türetilmiştir. Daha sonra, bu kernelden elde edilen Green fonksiyonu ile enerji spektrumu ve dalga fonksiyonu bulunmuştur.

PT-/non-PT-Symmetric and non-Hermitian q-deformed Trigonometric Scarf Potential via Path Integral Method

In this study, energy spectrum and corresponding wave function of Parity-Time (PT)-/non-PT- Symmetric and Non-Hermitianq-deformation Trigonometric Scarf Potential are obtained by using Path Integral method where P and T denotes parity and timeoperators, respectively. First, the kernel of this potential is derived in terms of the energy spectrum and the wave function byadopting parametric time. Then, the concomitant energy spectrum and the wave function are found by using the Green functionstemming from the aforementioned kernel.

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