The ground state solution of which would (with n = 0) read with an eigenvalue Nonetheless, the boundary condition on the wave function on the x -axis would mandate Feasibly, the satisfaction of this condition is obviously achievable when λ > 2. This would imply that At this point, we choose to stick with the continuity conditions at the hetero- junction boundaries between two crystals and take α = γ ⇒ β = − 1 − 2 α to imply This suggests, in addition to von Roos constraint (2), new constraints α = γ < − 3 / 4 or α = γ > 0 on the ambiguity parameters. In table 1, we list the 7 ψ$_{0}$ ( x ) = A$_{0}$ ( 1 1 − ( x a ) 2 ) ( λ +1) / 2 F ( 1 2 , λ − 1 2 ; 1 2 ; ( x a ) 2 ( x a ) 2 − 1 ) = A$_{0}$ ( 1 1 − ( x a ) 2 ) (2 − λ ) / 2 , (21) E$_{0}$ = µ 2 ( 8 (3 g$_{1}$ − 2 g$_{2}$ ) − ( λ − 1) 2 ) . (22) ψ ( x ) = m ( x ) 1 / 4 φ ( q ( x )) lim x →± $_{a}$ψ ( x ) = 0 . (23) λ = 1 2 ( 1 + √ 1 + 80 g$_{1}$ − 64 g$_{2}$ ) > 2 . (24) λ = 1 2 ( 1 + √ (3 + 8 α ) 2 ) > 2 = ⇒ | 3 + 8 α | > 3 . (25)