$V (x) = S (x)$	$W (x)$	$ε_{n}$	$ψ_{n}^{+} (x)$
$\frac{λ^{2}}{2} [A e^{- λ x} + B^{2} e^{- 2 λ x}]$	0	$ε_{n}^{2} - m^{2} = - λ^{2} {[\frac{A}{B} \sqrt{(ε_{n} + m)} + n + \frac{1}{2}]}^{2}$	$\begin{matrix} ψ_{n}^{+} (x) = A_{n} e^{- λ \| \frac{A}{B} \sqrt{(ε_{n} + m)} + n + \frac{1}{2} \| - \sqrt{B} e^{- λ x}} \\ \times L_{n}^{\| \frac{2 A}{B} \sqrt{(ε_{n} + m)} + 2 n + 1 \|} (2 B \sqrt{(ε + m)} e^{- λ x}) \end{matrix}$ $\| ε \| < m$ , $B > 0$ , $A_{n} = \sqrt{λ Γ (n + 1) / Γ (n + ν + 1)}$
$V_{0} e^{- λ x}$	$W_{0} e^{- λ x}$	$ε_{n}^{2} - m^{2} = - λ^{2} {[\frac{2 V_{0}}{W_{0} λ} (ε_{n} + m) + n + \frac{3}{2}]}^{2}$	$\begin{matrix} ψ_{n}^{+} (x) = A_{n} e^{- λ \| \frac{2 V_{0}}{W_{0} λ} (ε + m) + n + \frac{3}{2} \| - W_{0} e^{- λ x} / λ} \\ \times L_{n}^{\| \frac{4 V_{0}}{W_{0} λ} (ε + m) + 2 n + 3 \|} (2 W_{0} e^{- λ x} / λ) \end{matrix}$ $\| ε \| < m$ , $W_{0} > 0$ , $A_{n} = \sqrt{λ Γ (n + 1) / Γ (n + ν + 1)}$
$V = V_{0} \tanh (λ x)$	$W = W_{0} \tanh (λ x)$	$ε_{n}^{2} - m^{2} = W_{0}^{2} - λ^{2} [ϑ_{n}^{2} + V_{0}^{2} {(\frac{ε_{n} + m}{λ^{2}})}^{2} ϑ_{n}^{- 2}]$ $ϑ_{n} = (n + \frac{1}{2} - \| D / λ \|)$ $D^{2} = W_{0}^{2} + α W_{0} + λ^{2} / 4$ $W_{0} (W_{0} + α) > - λ^{2} / 4$	$\begin{matrix} ψ_{n}^{+} (x) = A_{n} {(1 + \tanh (λ x))}^{ν_{n} / 2} {(1 - \tanh (λ x))}^{μ_{n} / 2} \\ \times P_{n}^{(μ_{n}, ν_{n})} (\tanh (λ x)) \end{matrix}$ $μ_{n} = \sqrt{- [ε_{n}^{2} - m^{2} - 2 V_{0} (ε_{n} + m)]} / λ$ $ν_{n} = \sqrt{- [ε_{n}^{2} - m^{2} + 2 V_{0} (ε_{n} + m)]} / λ$ $μ_{n}, ν_{n} > - 1$
$\frac{C}{{(e^{- λ x} - 1)}^{2}} + \frac{A}{e^{- λ x} - 1}$	0	$ε_{n}^{2} = m^{2} - \frac{λ^{2}}{4} {[n + \frac{ν + 1}{2} + \frac{2 (ε_{n} + m) (A - C) / λ^{2}}{n + \frac{ν + 1}{2}}]}^{2}$ $ε_{n}^{2} - m^{2} = - λ^{2} {(μ + 1)}^{2} / 4$	$ψ_{n} (x) = A_{n} {(1 - y)}^{(ν + 1) / 2} {(1 + y)}^{(μ + 1) / 2} P_{n}^{(μ, ν)} (y)$ $y = 1 - 2 e^{- λ x}$ $\frac{λ^{2} (ν^{2} - 1)}{8} = C (ε_{n} + m)$
$\begin{array}{l} \frac{V_{+}}{\sinh^{2} (λ r)} \\ + 2 \frac{V_{0} + V_{1} (2 \tanh^{2} (λ r) - 1)}{\cosh^{2} (λ r)} \end{array}$	0	see [22]	see [22]
$\frac{V_{0} + V_{1} \tanh (λ x)}{\cosh^{2} (λ x)}$	0	see [22]	see [22]
$\begin{array}{l} V (r) = \frac{1}{e^{λ r} - 1} \\ \times [V_{0} + \frac{V_{+} / 2}{1 - e^{- λ r}} + V_{1} (1 - 2 e^{- λ r})] \end{array}$	0	see [22]	see [22]
$\begin{array}{l} V (x) = \frac{1 / 4}{1 - {(x / L)}^{2}} [2 V_{0} + \frac{V_{+}}{{(x / L)}^{2}} \\ + \frac{V_{-}}{1 - {(x / L)}^{2}}] - V_{1} \frac{{(x / L)}^{2} - \frac{1}{2}}{{(x / L)}^{2} - 1} \end{array}$	0	see [22]	see [22]