caa a22 4500 477060188 CHVBK 20180405111357.0 cr unu---uuuuu 170330e19960501xx s 000 0 eng 10.1007/BF02436783 doi (NATIONALLICENCE)springer-10.1007/BF02436783 Spectral problem for the Schrodinger equation with singular potential polynomial of even degree [Elektronische Daten] [A. Vshivteev, N. Norin, V. Sorokin] For the stationary Schrodinger equation with singular potential U(x)=x2r, where r∈Z+, that describes situations associated with phase transition in quantum systems, discovery of symmetries can be used to reduce problems to algebraic problems for finding spectra. We construct analytic procedures for the convergent theory of perturbations to find eigenvalues for potentials of the indicated type. We discuss the fine structure of Bohr—Sommerfeld quantum conditions. Plenum Publishing Corporation, 1996 Vshivteev A. aut Norin N. aut Sorokin V. aut Russian Physics Journal Kluwer Academic Publishers-Consultants Bureau 39/5(1996-05-01), 442-456 1064-8887 39:5<442 1996 39 11182 https://doi.org/10.1007/BF02436783 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02436783 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Vshivteev A. aut NATIONALLICENCE 700 1- Norin N. aut NATIONALLICENCE 700 1- Sorokin V. aut NATIONALLICENCE 773 0- Russian Physics Journal Kluwer Academic Publishers-Consultants Bureau 39/5(1996-05-01), 442-456 1064-8887 39:5<442 1996 39 11182 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer