Geodesic
Solution of spectral problem for Schrödinger equation with degenerate polinomial potential of even power
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 107-123 Cet article a éte moissonné depuis la source Math-Net.Ru

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The symmetry of the stationary Schrödinger equation with a degenerate potential $U(x)=x^{2r}$, $r \in Z_+$, describing phase transitions in quantum systems, is reveled. The analytical procedure of finding the eigenvalues of the potentials in question is constructed and realized numerically for $r=2,3,\dots,18$. The low energy levels are found. 
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     title = {Solution of spectral problem for {Schr\"odinger} equation with degenerate polinomial potential of even power},
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V. N. Sorokin; A. S. Vshivtsev; N. V. Norin. Solution of spectral problem for Schrödinger equation with degenerate polinomial potential of even power. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 107-123. http://geodesic.mathdoc.fr/item/TMF_1996_109_1_a9/

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