Supersymmetric quantum mechanics living on topologically non-trivial Riemann surfaces

0329585 - ÚJF 2010 RIV IN eng J - Journal Article
Znojil, Miloslav - Jakubský, Vít
Supersymmetric quantum mechanics living on topologically non-trivial Riemann surfaces.
[Supersymetrická kvantová mechanika na topologicky netriviálních Riemannových plochách.]
Pramana: journal of physics. Roč. 73, č. 2 (2009), s. 397-404. ISSN 0304-4289. E-ISSN 0973-7111.
[8th Conference on Non-Hermitian Hamiltonians in Quantum Physics. Mumbai, 13.01.2009-16.01.2009]
R&D Projects: GA MŠMT LC06002; GA ČR GA202/07/1307
Institutional research plan: CEZ:AV0Z10480505
Keywords : Supersymmetry * Schrodinger equation * complexified coordinates
Subject RIV: BE - Theoretical Physics
Impact factor: 0.349, year: 2009

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.

Supersymetrická kvantová mechanika je sestrojena v nové nehermitovské representaci.
Permanent Link: http://hdl.handle.net/11104/0175583