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Bound particle with magnetic moment in a space with topological defect
Author(s) -
Azevedo Sérgio
Publication year - 2002
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.10337
Subject(s) - eigenvalues and eigenvectors , eigenfunction , physics , space (punctuation) , bounded function , magnetic moment , quantum , quantum mechanics , spin (aerodynamics) , topological quantum number , topology (electrical circuits) , mathematics , mathematical analysis , combinatorics , linguistics , philosophy , thermodynamics
We consider a bounded quantum mechanical particle with spin −1/2 and a gyromagnetic ratio g, which is placed in a uniform magnetic field, in a space with a linear topological defect. We obtain the exact expressions for eigenfunctions and eigenvalues, using the approach of the continuum theory of defects, and show the dependence on the topological parameters and potential harmonic. Besides, we study the limits case and obtained the results described in the literature. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002