Solusi Persamaan Klein Gordon dengan Kombinasi Potensial Hiperbolik dalam 3D Koordinat Silinder
Abstract
Energi relativistik dan fungsi gelombang untuk partikel spin nol menggunakan Persamaan Klein Gordon yang dipengaruhi oleh kombinasi potensial hiperbolik yaitu potensial Hulten serta potensial scraff hiperbolik tipe I dan II. Persamaan Klein Gordon dikaji dalam kondisi anti partikel yaitu potensial skalar sama dengan negatif potensial vektor . Persamaan Klein Gordon dalam koordinat silinder tak terpusat yang dapat dipisahkan diselesaikan dengan metode iterasi asimtotik (AIM). Dengan menggunakan koordinat silinder, persamaan Klein Gordon persamaan Klein Gordon direduksi menjadi tiga persamaan Schrodinger satu dimensi seperti yang dapat dipecahkan dengan menggunakan metode pemisahan variabel. Potensial silinder non-pusat tiga dimensi yang dapat dipisahkan tiga dimensi yang dapat dipisahkan menjadi bagian radial (r), bagian sudut (θ) dan bagian aksial (z). Kemudian dengan menggunakan metode iterasi asimtotik (AIM) maka diperoleh energi energi relativistik dan fungsi gelombang. Energi relativistik dan fungsi gelombang disajikan dalam bentuk persamaan. Energi relativistik dihasilkan dari bagian radial dan fungsi gelombang disajikan dalam bentuk persamaan hipergoemetri.
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DOI: https://doi.org/10.30998/sch.v5i1.11504
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