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Factorization Method in Oscillator with the Aharonov-Casher System
Author(s) -
J. Sadeghi,
J. Naji,
B. Pourhassan
Publication year - 2014
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2014/965694
Subject(s) - factorization , energy spectrum , spectral theorem , wave function , factorization of polynomials , mathematics , spectrum (functional analysis) , algebra over a field , physics , pure mathematics , operator theory , quantum mechanics , mathematical analysis , algorithm , polynomial , matrix polynomial
We review the oscillator with Aharonov-Casher system and study somemathematical foundation about factorization method. The factorization method helps us to obtain the energy spectrum and general wave function for the corresponding system in some spin condition. The factorization method leads us to obtain the raising and lowering operators for the Aharonov-Casher system. The corresponding operators give us the generators of the algebra

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