. "Chci se zab\u00FDvat s ot\u00E1zkami spojen\u00FDmi s popisem v\u00E1zan\u00FDch stav\u016F v r\u00E1mci tzv. metody Hillov\u00FDch determinant\u016F (HD). Pozornost bude v\u011Bnov\u00E1na t\u011Bm mo\u017Enostem a tendenc\u00EDm a v t\u011Bch souvislostech, kde tato metoda dosud nebyla (anebo byla pouze nedostate\u010Dn\u011B) rozv\u00EDjena. P\u0159edpokl\u00E1d\u00E1m \u00FAsp\u011B\u0161n\u00FD v\u00FDzkum v n\u011Bkter\u00E9m z n\u00E1sleduj\u00EDc\u00EDch sm\u011Br\u016F: (i) zobecn\u011Bn\u00ED konstrukce na n\u011Bkter\u00E9 asymetrick\u00E9 potenci\u00E1ly v jedn\u00E9 dimenzi; (ii) studium mo\u017Enost\u00ED p\u0159echodu ke t\u0159em dimenz\u00EDm; (iii) mo\u017Enosti popisu n\u011Bkter\u00FDch potenci\u00E1l\u016F siln\u011B singul\u00E1rn\u00EDch; (iv) n\u00E1vrhy a zdokonalov\u00E1n\u00ED metod v\u00FDpo\u010Dt\u016F vyu\u017E\u00EDvaj\u00EDc\u00EDch \u0159et\u011Bzov\u00FDch zlomk\u016F a poruchov\u00FDch \u010Di algebraick\u00FDch technik." . . . . . "http://www.isvav.cz/projectDetail.do?rowId=IAA1048602"^^ . . . "V r\u00E1mci nevaria\u010Dn\u00ED metody Hillov\u00FDch determinant\u016F byly zdokonaleny nejr\u016Fzn\u011Bj\u0161\u00ED matematick\u00E9, metodick\u00E9 i fyzik\u00E1ln\u00ED aspekty konstrukce v\u00E1zan\u00FDch a rozptylov\u00FDch stav\u016F a resonanc\u00ED pro nejr\u016Fzn\u011Bj\u0161\u00ED jedno- i v\u00EDcerozm\u011Brn\u00E9 asymetrick\u00E9 i singul\u00E1rn\u00ED syst\u00E9my."@cs . "17"^^ . "Metoda Hillov\u00FDch determinant\u016F" . "17"^^ . "0"^^ . "The method of Hill determinants"@en . . . . . "1"^^ . . "IAA1048602" . . "0"^^ . "I inted to analyse the description of bound states within the framework of the so called method of Hill determinants (HDs), paying attention to possibilities and tendencies not yet (or not yet satisfactorily) developed. I expect a succesful research in some of the following directions: (i) the generalization of the HD prescription construction to some asymmetric interactions in one dimension; (ii) a study of possibilities of transition to three dimensions; (iii) the possibilities of description of some strongly singular potentials; (iv) the proposals and improvements of the computational methods which would use continued fractions and perturbative and/or algebraic techniques."@en . . . .