Bound States in Curved Quantum Layers

被引：0

作者：

P. Duclos

P. Exner

D. Krejčiřík

机构：

[1] Centre de Physique Théorique,

[2] CNRS,undefined

[3] 13288 Marseille-Luminy,undefined

[4] France ,undefined

[5] PHYMAT,undefined

[6] Université de Toulon et du Var,undefined

[7] 83957 La Garde,undefined

[8] France. E-mail: duclos@univ-tln.fr,undefined

[9] Nuclear Physics Institute,undefined

[10] Academy of Sciences,undefined

[11] 25068 Ř}ež near Prague,undefined

[12] Czech Republic.¶E-mail: exner@ujf.cas.cz; krejcirik@ujf.cas.cz,undefined

[13] Doppler Institute,undefined

[14] Czech Technical University,undefined

[15] Břehová 7,undefined

[16] 11519 Prague,undefined

[17] Czech Republic,undefined

[18] Faculty of Mathematics and Physics,undefined

[19] Charles University,undefined

[20] V Holešovičkách 2,undefined

[21] 18000 Prague,undefined

[22] Czech Republic,undefined

来源：

Communications in Mathematical Physics | 2001年 / 223卷

关键词：

Surface Curvature; Quantum Particle; Constant Width; Nonrelativistic Quantum; Curve Quantum;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a nonrelativistic quantum particle constrained to a curved layer of constant width built over a non-compact surface embedded in ℝ3. We suppose that the latter is endowed with the geodesic polar coordinates and that the layer has the hard-wall boundary. Under the assumption that the surface curvatures vanish at infinity we find sufficient conditions which guarantee the existence of geometrically induced bound states.

引用

页码：13 / 28

页数：15