Geodesic
Problem of the $c\to\infty$ limit in the relativistic Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 2, pp. 191-196 Cet article a éte moissonné depuis la source Math-Net.Ru

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A mathematical procedure is given for investigating the regular degeneration of the solutions of the relativistic Schrödinger equation $$ [2c\sqrt{q^2+m^2c^2}-H_0^{\operatorname{rad}}-V(r)]\Psi_{ql}(r)=0 $$ into the solutions of the nonrelativlstle equation $$ \left[\hbar^2\frac{d^2}{dr^2}-\hbar^2\frac{l(l+1)}{r^2}-mV(r)+q^2\right]u_{ql}(r)=0 $$ for the $S$-wave case. The proposed method of a small parameter of the higher derivatives of a differential equation is applied to several concrete problems. 
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     author = {E. P. Zhidkov and V. G. Kadyshevskii and Yu. V. Katyshev},
     title = {Problem of the $c\to\infty$ limit in the relativistic {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {191--196},
     year = {1970},
     volume = {3},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a5/}
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E. P. Zhidkov; V. G. Kadyshevskii; Yu. V. Katyshev. Problem of the $c\to\infty$ limit in the relativistic Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 2, pp. 191-196. http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a5/

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