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Volumn 73, Issue 11, 2004, Pages 3115-3120

Quantum particles constrained on cylindrical surfaces with non-constant diameter

Author keywords

Constraint; Curvature; Curved surfaces; Cylindrical symmetry; Quantum particles

Indexed keywords

ARTICLE; CALCULATION; ELECTRONICS; ELEMENTARY PARTICLE; GEOMETRY; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; PARTICLE SIZE; QUANTUM MECHANICS; THEORY;

EID: 20444377691     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.73.3115     Document Type: Article
Times cited : (10)

References (15)
  • 5
    • 20444373080 scopus 로고    scopus 로고
    • note
    • Since the curvature potential at any given point is determined not only by the intrinsic curvatures but also by the extrinsic ones, the problem is essentially distinct from the classical counterpart, as discussed in ref. 2.
  • 7
    • 20444429844 scopus 로고    scopus 로고
    • note
    • It can be taken as the pore (inner) radius, in which case r(z) = cosh(az) and the following equations must be scaled appropriately.
  • 8
    • 11244299230 scopus 로고
    • However, it seems unlikely that the potential energy is exactly solvable. See for example, L. Infeld and T. E. Hull: Rev. Mod. Phys. 23 (1951) 21.
    • (1951) Rev. Mod. Phys. , vol.23 , pp. 21
    • Infeld, L.1    Hull, T.E.2
  • 9
    • 21844509475 scopus 로고
    • -, for some fixed value of m. For a presentation of the theorem, see for example, W. F. Buell and B. A. Shadwick: Am. J. Phys. 63 (1995) 256.
    • (1995) Am. J. Phys. , vol.63 , pp. 256
    • Buell, W.F.1    Shadwick, B.A.2
  • 10
    • 3042569108 scopus 로고    scopus 로고
    • Hypothetical curved nanostructures made of bent graphite sheets are demonstrated in H. Terrones and M. Terrones: New J. Phys. 5 (2003) 126.
    • (2003) New J. Phys. , vol.5 , pp. 126
    • Terrones, H.1    Terrones, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.