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The origin of the hidden supersymmetry
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SYSNO ASEP 0349609 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The origin of the hidden supersymmetry Author(s) Jakubský, Vít (UJF-V) RID, ORCID, SAI
Nieto, L.M. (ES)
Plyushchay, M. S. (CL)Source Title Physics Letters. B. - : Elsevier - ISSN 0370-2693
Roč. 692, č. 1 (2010), s. 51-56Number of pages 6 s. Language eng - English Country NL - Netherlands Keywords Hidden supersymmetry ; Foldy-Wouthuysen transformation ; Aharonov-Bohm effect Subject RIV BE - Theoretical Physics R&D Projects LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000282194200011 DOI 10.1016/j.physletb.2010.07.014 Annotation 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2011
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