QUANTUM-MECHANICS IN RIEMANNIAN MANIFOLD .2.

被引:33
作者
OGAWA, N
FUJII, K
CHEPILKO, N
KOBUSHKIN, A
机构
来源
PROGRESS OF THEORETICAL PHYSICS | 1991年 / 85卷 / 06期
关键词
D O I
10.1143/PTP.85.1189
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We have previously argued about the quantum mechanics on the hypersurface V(N-1) embedded in Euclidean space R(N). We generalize the formalism to the case of V(L) embedded in Euclidean space R(N) with 1 less-than-or-equal-to L < N. The result is essentially the same as the previous one and the additional term proportional to HBAR2 appears in the potential energy which is related to the extrinsic mean curvature of V(L) in R(N).
引用
收藏
页码:1189 / 1201
页数:13
相关论文
共 3 条
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ASANAGA Y, 1978, INTRO RIEMANNIAN GEO
[2]   QUANTUM-MECHANICS IN RIEMANNIAN MANIFOLD [J].
OGAWA, N ;
FUJII, K ;
KOBUSHUKIN, A .
PROGRESS OF THEORETICAL PHYSICS, 1990, 83 (05) :894-905
[3]  
Tolar J., 1988, LECTURE NOTES PHYSIC, V313, P268