"quantum theory; pseudo-Hermitian Hamiltonians; anti-linear symmetries; solvable models; perturbation theory"@en . . "0"^^ . "Kvantov\u00E1 teorie a pseudo-hermitovsk\u00E9 Hamiltoni\u00E1ny" . . "26"^^ . . "http://www.isvav.cz/projectDetail.do?rowId=IAA1048302"^^ . . "26"^^ . "1"^^ . . " anti-linear symmetries" . "2007-09-26+02:00"^^ . . . "0"^^ . "Zd\u00E1 se mi, \u017Ee pr\u00E1v\u011B nastala ta nejvhodn\u011Bj\u0161\u00ED doba k podstan\u00E9mu zintenzivn\u011Bn\u00ED m\u00E9ho dosud jen nesystematick\u00E9ho studia nehermitovsk\u00FDch hamiltoni\u00E1n\u016F, proto\u017Ee v mnoha odv\u011Btv\u00EDch fyziky p\u0159ib\u00FDv\u00E1 jejich vyu\u017E\u00EDv\u00E1n\u00ED ka\u017Ed\u00FDm dnem. p\u0159es intenzivn\u00ED n\u00E1r\u016Fst po\u010Dtu publikac\u00ED v\u0161ak roste sp\u00ED\u0161e ne\u017E kles\u00E1 i po\u010Det nezodpov\u011Bzen\u00FDch z\u00E1kladn\u00EDch teoretick\u00FDch ot\u00E1zek. Neprop\u00E1sl jsem na\u0161t\u011Bst\u00ED n\u00E1stup tohoto slibn\u00E9ho trendu a v\u011B\u0159\u00EDm proto, \u017Ee se mi poda\u0159\u00ED zv\u00FDraznit sv\u016Fj p\u0159\u00EDsp\u011Bvek k n\u011Bmu, p\u0159edev\u0161\u00EDm prost\u0159ednictv\u00EDm nov\u00FDch a \u010Dast\u011Bj\u0161\u00EDch spoluprac\u00ED. Jeho j\u00E1dro o\u010Dek\u00E1v\u00E1m v oblasti v\u010Dlen\u011Bn\u00ED nov\u00FDch hamiltoni\u00E1n\u016F do standardn\u00ED teorie, mj. studiem a vyu\u017Eit\u00EDm prostor\u016F s pseudo-normou \u010Di redefinic\u00ED pravd\u011Bpodobnostn\u00ED interpretace a unitarity evoluce. O\u010Dek\u00E1v\u00E1m pou\u017Eit\u00ED postup\u016F nazna\u010Den\u00FDch v m\u00FDch dosavadn\u00EDch publikac\u00EDch, jako\u017E o odhalen\u00ED a vypracov\u00E1n\u00ED technik zcela nov\u00FDch, pou\u017E\u00EDvaj\u00EDc\u00EDch nap\u0159. pseudo-kanonick\u00E9 a projektivn\u00ED transformace a pod. Sou\u010Dasn\u011B se chci v\u011Bnovat i pot\u0159ebn\u00FDm metod\u00E1m: rozvoji star\u00FDch a hled\u00E1n\u00ED nov\u00FDch." . . "IAA1048302" . "Just now, time seems ripening for an intensification of my interest in non-Hermitian Hamiltonians H. During a few years,their practical use grows within multiple branches of physics. In spite of a real boom in the related publication activites, still more and more related fundamental theoretical questions remain open and are to be answered. Fortunately, I did not miss the fresh start otf the new direction of research. Still, new collaborations seem necessary for completion of ma fresh results and for an acceleration of progress. Concetrating on the rigorous incorporation of the new class of H in the standard theory, the related questions (about(pseudo-) norms, spaces, evolution, (pseudo-) unitarity and probabilistic interpretation etc.) will be studied in a way indicated by my recent work, via suitable pseudo-canonical and/or projection transformations etc. Ishall strive to improved the applicable mathematical techniques, both extending the available, and searching for the new ones."@en . . " solvable models" . " pseudo-Hermitian Hamiltonians" . "Quantum teory and pseudo-Hermitian Hamiltonians"@en . . "Work significantly contributed to the present clarity of mathematical essence and physical meaning of PT-symmetric quantum theory. The formalism full of open questions became a consistent, highly promising background for future phenomen. applications."@en . . . . . . . . . . "Pr\u00E1ce p\u0159isp\u011Bla v\u00FDraznou m\u011Brou k vyjasn\u011Bn\u00ED matematick\u00E9 a fyzik\u00E1ln\u00ED podstaty tzv. PT-symetrick\u00E9 verze kvantov\u00E9 teorie. Z formalismu pln\u00E9ho otev\u0159en\u00FDch ot\u00E1zek se b\u011Bhem t\u0159\u00ED let stalo konzistentn\u00ED a slibn\u00E9 v\u00FDchodisko budouc\u00EDch fenomenologick\u00FDch aplikac\u00ED."@cs . "quantum theory" .