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 TMF, 1975, Volume 24, Number 3, Pages 412–418 (Mi tmf4026)

Two-sided estimates for eigenvalues of the Schrödinger equation

G. V. Ryazanov

Abstract: Schrödinger equation is substituted into two systems of $n$ linear equations with $n$ unknown quantitys. The coefficients of these equations are the matrix elements of the hamiltonian between quasiclassical wavefunctions. The solution of these systems give the two-side estimates for eigenvalues of the Schrodinger equation. The relative distance between boundary $\simeq\lambda^k$, where $\lambda$ is the parameter of the quasiclassical decomposition for the $n$-th wavefunction, $k$ is the number of terms in this decomposition.

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English version:
Theoretical and Mathematical Physics, 1975, 24:3, 926–930

Bibliographic databases:

Citation: G. V. Ryazanov, “Two-sided estimates for eigenvalues of the Schrödinger equation”, TMF, 24:3 (1975), 412–418; Theoret. and Math. Phys., 24:3 (1975), 926–930

Citation in format AMSBIB
\Bibitem{Rya75} \by G.~V.~Ryazanov \paper Two-sided estimates for eigenvalues of the Schr\"odinger equation \jour TMF \yr 1975 \vol 24 \issue 3 \pages 412--418 \mathnet{http://mi.mathnet.ru/tmf4026} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=496119} \transl \jour Theoret. and Math. Phys. \yr 1975 \vol 24 \issue 3 \pages 926--930 \crossref{https://doi.org/10.1007/BF01029881}