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Volumn 43, Issue 6, 1998, Pages 623-628

Magnetic force exerted by the Aharonov-Bohm line

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EID: 0032530080     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1998-00408-4     Document Type: Article
Times cited : (50)

References (31)
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    • note
    • ψ(s) defines a curve on the complex ψ-plane. The curve is the well-known Cornu spiral [18], the two centers of which are at ψ = exp[±iπΦ̃]; For y varying from -∞ to ∞, ψ(x,y) changes along the spiral from ψ = exp[-iπΦ̃] to ψ = exp[iπΦ̃].
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    • note
    • Some caution is needed because of the discontinuity of ψ(+0, y) in eq. (4) at y = 0. The correct limiting procedure, where details of the behaviour at y = 0 are unimportant, is the following; ∂ψ/∂y is substituted by (ψ(+0, y + a) - ψ(+0, y -a))/2a and the limit a → 0 is taken after the y-integration.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.