Approximate analytical solution of the Dirac equation with q-deformed hyperbolic Pöschl–Teller potential and trigonometric Scarf II non-central potential
Kurniawan Ade, Suparmi A., Cari C.
       
(a)–(c) Polar diagrams and (d)–(f) three-dimensional representations of the angular wave function for a state n = 4 with varing ω and Ω . In panels (a) and (d), ∣ Θ ( θ )∣2 = 1.97022(1.61865 + 16.834(−1 + cosθ) + 42.085(−1 + cos θ )2 + 36.6895(−1 + cos θ )3 + 10.2515(−1 + cos θ )4)2(1 − cos θ )0.25(1 + cos θ )1.25; in panels (b) and (e), ∣ Θ ( θ )∣2 = 1.97022(6.79834 + 39.2793(−1 + cos θ ) + 67.9834(−1 + cos θ )2 + 45.3223(−1 + cos θ )3 + 10.2515(−1 + cos θ )4)2(1 − cos θ )1.25(1 + cos θ )0.25; in panels (c) and (f), ∣ Θ ( θ )∣2 = 1.33582(6.79834 + 45.3223(−1 + cos θ ) + 88.9014(−1 + cos θ )2 + 66.2402(−1 + cos θ )3 + 16.5601(−1 + cos θ )4)2(1 – cos θ )1.25(1 + cos θ )1.25.