The origin of the hidden supersymmetry

0349609 - ÚJF 2011 RIV NL eng J - Článek v odborném periodiku
Jakubský, Vít - Nieto, L.M. - Plyushchay, M. S.
The origin of the hidden supersymmetry.
Physics Letters. B. Roč. 692, č. 1 (2010), s. 51-56. ISSN 0370-2693. E-ISSN 1873-2445
Grant CEP: GA MŠMT LC06002
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: Hidden supersymmetry * Foldy-Wouthuysen transformation * Aharonov-Bohm effect
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 5.255, rok: 2010

The hidden supersymmetry and related tri-supersymmetric structure of the free particle system, the Dirac delta potential problem and the Aharonov-Bohm effect (planar, bound state, and tubule models) are explained by a special nonlocal unitary transformation, which for the usual N = 2 supercharges has a nature of Foldy-Wouthuysen transformation. We show that in general case, the bosonized supersymmetry of nonlocal, parity even systems emerges in the same construction, and explain the origin of the unusual N = 2 supersymmetry of electron in three-dimensional parity even magnetic field. The observation extends to include the hidden superconformal symmetry.
Trvalý link: http://hdl.handle.net/11104/0189801