Soliton and boundary condition induced fractional fermion number

Roy, S. M. ; Singh, Virendra (1984) Soliton and boundary condition induced fractional fermion number Pramana - Journal of Physics, 23 (3). pp. 333-342. ISSN 0304-4289

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Official URL: http://www.ias.ac.in/j_archive/pramana/23/3/333-34...

Related URL: http://dx.doi.org/10.1007/BF02846577

Abstract

We show that for a fermion in a bounded background potential in a finite box, eigenvalues of the total charge are independent of whether the potential is solitonic and depend only on the boundary condition: half-odd integral or integral for charge conjugation (C) invariant boundary conditions and an arbitrary fraction for C non-invariant boundary conditions. Fractional fermion numbers for infinite space Jackiw-Rebbi and Goldstone-Wilczek Hamiltonians are reproduced in finite space by using boundary conditions different from the periodic ones of Rajaraman and Bell.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Soliton; Boundary Condition; Fermion; Charge Conjugation
ID Code:42871
Deposited On:07 Jun 2011 06:11
Last Modified:18 May 2016 00:02

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