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Supersymmetric quantum mechanics living on topologically non-trivial Riemann surfaces
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SYSNO ASEP 0329585 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Supersymmetric quantum mechanics living on topologically non-trivial Riemann surfaces Title Supersymetrická kvantová mechanika na topologicky netriviálních Riemannových plochách Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
Jakubský, Vít (UJF-V) RID, ORCID, SAISource Title Pramana: journal of physics - ISSN 0304-4289
Roč. 73, č. 2 (2009), s. 397-404Number of pages 8 s. Action 8th Conference on Non-Hermitian Hamiltonians in Quantum Physics Event date 13.01.2009-16.01.2009 VEvent location Mumbai Country IN - India Event type WRD Language eng - English Country IN - India Keywords Supersymmetry ; Schrodinger equation ; complexified coordinates Subject RIV BE - Theoretical Physics R&D Projects LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA202/07/1307 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000269548500019 Annotation Supersymmetric quantum mechanics is constructed in a new non-Hermitian representation. Firstly, the map between the partner operators H-(+/-) is chosen antilineax. Secondly, both these components of a super-Hamiltonian R are defined along certain topologically non-trivial complex curves r((+/-)) (x) which spread over several Riemann sheets of the wave function. The non-uniqueness of our choice of the map T between 'tobogganic' partner curves r((+))(x) and r((-))(x) is emphasized. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2010
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