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$\displaystyle \left(\vphantom{{d \over dr} + {\kappa\over r}}\right.$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2171}%
$\displaystyle {d \over dr}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2172}%
$\displaystyle {\kappa\over r}$%
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{\newpage\clearpage
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$\displaystyle \left.\vphantom{{d \over dr} + {\kappa\over r}}\right)$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2176}%
$\displaystyle \left(\vphantom{2mc^2 - V(r) + \epsilon }\right.$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2178}%
$\displaystyle \left.\vphantom{2mc^2 - V(r) + \epsilon }\right)$%
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\lthtmlinlinemathA{tex2html_wrap_indisplay2180}%
$\displaystyle \left(\vphantom{{d \over dr} - {\kappa\over r}}\right.$%
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\lthtmlinlinemathA{tex2html_wrap_indisplay2183}%
$\displaystyle \left.\vphantom{{d \over dr} - {\kappa\over r}}\right)$%
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\lthtmlinlinemathA{tex2html_wrap_indisplay2186}%
$\displaystyle \left(\vphantom{ V(r) + \epsilon }\right.$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2188}%
$\displaystyle \left.\vphantom{ V(r) + \epsilon }\right)$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2194}%
$ \kappa$%
\lthtmlinlinemathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2201}%
$\displaystyle \sum_{{nlj}}^{}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2202}%
$\displaystyle \Theta_{{nlj}}^{}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2203}%
$\displaystyle {R^2_{nlj}(r)+S^2_{nlj}(r)\over 4\pi r^2}$%
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\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2206}%
$ \hbar$%
\lthtmlinlinemathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2210}%
$\displaystyle \left(\vphantom{ {l(l+1)\over r^2} + M(r)\left(V(r)-\epsilon\right)
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2212}%
$\displaystyle \left(\vphantom{V(r)-\epsilon}\right.$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2214}%
$\displaystyle \left.\vphantom{V(r)-\epsilon}\right)$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2215}%
$\displaystyle \left.\vphantom{ {l(l+1)\over r^2} + M(r)\left(V(r)-\epsilon\right)
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2217}%
$\displaystyle {\alpha^2\over 4M(r)}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2218}%
$\displaystyle {dV(r)\over dr}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2219}%
$\displaystyle \left(\vphantom{{dR_{nl}(r)\over dr} +
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2220}%
$\displaystyle {dR_{nl}(r)\over dr}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2221}%
$\displaystyle \langle$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2222}%
$\displaystyle \kappa$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2223}%
$\displaystyle \rangle$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2225}%
$\displaystyle \left.\vphantom{{dR_{nl}(r)\over dr} +
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2229}%
$ \langle$%
\lthtmlinlinemathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2231}%
$ \rangle$%
\lthtmlinlinemathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2236}%
$\displaystyle {\alpha^2\over 4}$%
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\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2246}%
$ \Delta$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2248}%
$\displaystyle \int_{0}^{\infty}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2251}%
$\displaystyle {d f(r)\over d r}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2253}%
$\displaystyle {d f(x)\over d x}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2254}%
$\displaystyle {d^2 f(r)\over d r^2}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2255}%
$\displaystyle {1\over r^2}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2258}%
$\displaystyle {d^2 f(x)\over d x^2}$%
\lthtmlindisplaymathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2261}%
$ \epsilon$%
\lthtmlinlinemathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2265}%
$ \left(\vphantom{V(r_t)-\epsilon}\right.$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2267}%
$ \left.\vphantom{V(r_t)-\epsilon}\right)$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2271}%
$\displaystyle {d^2 R_{nl}(x)\over d x^2}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2275}%
$\displaystyle {d R_{nl}(x)\over d x}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2285}%
$\displaystyle \left(\vphantom{{1\over r} {dR_{nl}(x)\over dx} +
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2292}%
$\displaystyle \left.\vphantom{{1\over r} {dR_{nl}(x)\over dx} +
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2300}%
$\displaystyle \simeq$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2301}%
$\scriptstyle \gamma$%
\lthtmlindisplaymathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2302}%
$\displaystyle \gamma$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2303}%
$\displaystyle {l\sqrt{l^2-\alpha^2 Z^2}+
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2312}%
$\displaystyle \sqrt{{{l(l+1)\over r^2} + \left(V(r)-\epsilon\right)}}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2317}%
$\displaystyle {d R_{nl}(r_t^+)\over dr}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2318}%
$\displaystyle {d R_{nl}(r_t^-)\over dr}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2319}%
$\displaystyle \ne$%
\lthtmlindisplaymathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2324}%
$\displaystyle {d^2 \widetilde R_{nl}(r)\over dr^2}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2325}%
$\displaystyle \delta$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2332}%
$\displaystyle \Delta$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2334}%
$\displaystyle {A\over R_{nl}(r_t)}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2338}%
$\displaystyle \epsilon_{{nl}}^{}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2351}%
$\displaystyle \le$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2355}%
$\displaystyle \ge$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2358}%
$\displaystyle \int_{{r<r_c}}^{}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2361}%
$\displaystyle {d^nR^{ps}(r_c)\over dr^n}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2362}%
$\displaystyle {d^nR(r_c)\over dr^n}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2364}%
$ \bullet$%
\lthtmlinlinemathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2367}%
$\displaystyle {R(r_c)\over r_c^{l+1}}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2371}%
$\displaystyle {dR^{ps}(r)\over dr}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2372}%
$\displaystyle {l+1\over r}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2374}%
$\displaystyle {dR(r_c)\over dr}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2375}%
$\displaystyle {1\over R^{ps}(r_c)}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2376}%
$\displaystyle {l+1\over r_c}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2381}%
$\displaystyle {d^2R^{ps}(r)\over d^2r}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2385}%
$\displaystyle \left(\vphantom{(l+1)r^le^{p(r)} + r^{l+1}e^{p(r)}p'(r)}\right.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2386}%
$\displaystyle \left.\vphantom{(l+1)r^le^{p(r)} + r^{l+1}e^{p(r)}p'(r)}\right)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2389}%
$\displaystyle \left[\vphantom{p'(r)}\right.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2390}%
$\displaystyle \left.\vphantom{p'(r)}\right]^{2}_{}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2393}%
$\displaystyle \left(\vphantom{ {l(l+1)\over r^2}+ {2(l+1)\over r}p'(r) +
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2395}%
$\displaystyle {2(l+1)\over r}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2398}%
$\displaystyle \left.\vphantom{ {l(l+1)\over r^2}+ {2(l+1)\over r}p'(r) +
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2400}%
$\displaystyle {d^2R^{ps}(r)\over dr^2}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2401}%
$\displaystyle \left(\vphantom{ {l(l+1)\over r^2} +{2m\over\hbar^2}(V(r)-\epsilon)}\right.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2403}%
$\displaystyle {2m\over\hbar^2}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2405}%
$\displaystyle \left.\vphantom{ {l(l+1)\over r^2} +{2m\over\hbar^2}(V(r)-\epsilon)}\right)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2410}%
$\displaystyle \left[\vphantom{p'(r_c)}\right.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2411}%
$\displaystyle \left.\vphantom{p'(r_c)}\right]^{2}_{}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2418}%
$\displaystyle {l+1\over r^2_c}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2425}%
$\displaystyle {l+1\over r^3_c}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2429}%
$\displaystyle \left[\vphantom{p''(r_c)p''(r_c)}\right.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2430}%
$\displaystyle \left.\vphantom{p''(r_c)p''(r_c)}\right]^{2}_{}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2437}%
$\displaystyle \left(\vphantom{{1\over R^{ps}(r)}{d^2R^{ps}(r)\over dr^2}
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2438}%
$\displaystyle {1\over R^{ps}(r)}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2441}%
$\displaystyle \left.\vphantom{{1\over R^{ps}(r)}{d^2R^{ps}(r)\over dr^2}
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2446}%
$\displaystyle \left(\vphantom{ 2{l+1\over r} p'(r)+\left[p(r)\right]^2+p''(r)
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2448}%
$\displaystyle \left[\vphantom{p(r)}\right.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2449}%
$\displaystyle \left.\vphantom{p(r)}\right]^{2}_{}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2450}%
$\displaystyle \left.\vphantom{ 2{l+1\over r} p'(r)+\left[p(r)\right]^2+p''(r)
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2459}%
$\displaystyle \left(\vphantom{ 2{l+1\over r} (2c_2r + 4c_4r^3)
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2461}%
$\displaystyle \left.\vphantom{ 2{l+1\over r} (2c_2r + 4c_4r^3)
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2466}%
$\displaystyle \left(\vphantom{ 2c_2(2l+3) +
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2467}%
$\displaystyle \left(\vphantom{(2l+5)c_4+c_2^2}\right.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2468}%
$\displaystyle \left.\vphantom{(2l+5)c_4+c_2^2}\right)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay2469}%
$\displaystyle \left.\vphantom{ 2c_2(2l+3) +
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\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}


\end{document}
