Quantum particles constrained on cylindrical surfaces with non-constant diameter

研究成果: Article査読

10 被引用数 (Scopus)


We present a theoretical formulation of the one-electron problem constrained on the surface of a cylindrical tubule with varying diameter. Because of the cylindrical symmetry, we may reduce the problem to a one-dimensional equation for each angular momentum quantum number in along the cylindrical axis. The geometrical properties of the surface determine the electronic structures through the geometry dependent term in the equation. Magnetic fields parallel to the axis can readily be incorporated. Our formulation is applied to simple examples such as the catenoid and the sinusoidal tubules. The existence of bound states as well as the band structures, which are induced geometrically, for these surfaces are shown. To show that the electronic structures can be altered significantly by applying a magnetic field, Aharonov-Bohm effects in these examples are demonstrated.

ジャーナルjournal of the physical society of japan
出版ステータスPublished - 2004 11

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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