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AuthorAl-Hashimi, M.?H.
AuthorShalaby, A.?M.
AuthorWiese, U.-J.
Available date2020-11-26T11:21:09Z
Publication Date2017
Publication NamePhysical Review D
ResourceScopus
URIhttp://dx.doi.org/10.1103/PhysRevD.95.065007
URIhttp://hdl.handle.net/10576/17102
AbstractMotivated by potential applications to ultracold matter, we perform a theoretical study of Majorana fermions confined to a finite volume, whose boundary conditions are characterized by self-adjoint extension parameters. While the boundary conditions for Dirac fermions in (1+1)-d are characterized by a 1-parameter family, ?=-??, of self-adjoint extensions, for Majorana fermions ? is restricted to �i. Based on this result, we compute the frequency spectrum of Majorana fermions confined to a 1-d interval. The boundary conditions for Dirac fermions confined to a 3-d region of space are characterized by a 4-parameter family of self-adjoint extensions, which is reduced to two distinct 1-parameter families for Majorana fermions. We also consider the problems related to the quantum mechanical interpretation of the Majorana equation as a single-particle equation. Furthermore, the equation is related to a relativistic Schrodinger equation that does not suffer from these problems. Here we restrict ourselves to theoretical considerations without yet focusing on concrete cold matter applications.
Languageen
PublisherAmerican Physical Society
TitleMajorana fermions in a box
TypeArticle
Issue Number6
Volume Number95
dc.accessType Abstract Only


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