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المؤلفAl-Hashimi, M.?H.
المؤلفShalaby, A.?M.
المؤلفWiese, U.-J.
تاريخ الإتاحة2020-11-26T11:21:09Z
تاريخ النشر2017
اسم المنشورPhysical Review D
المصدرScopus
معرّف المصادر الموحدhttp://dx.doi.org/10.1103/PhysRevD.95.065007
معرّف المصادر الموحدhttp://hdl.handle.net/10576/17102
الملخصMotivated 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.
اللغةen
الناشرAmerican Physical Society
العنوانMajorana fermions in a box
النوعArticle
رقم العدد6
رقم المجلد95
dc.accessType Abstract Only


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