Path integral treatment of the hydrogen atom in a curved space of constant curvature

1987 ◽  
Vol 20 (18) ◽  
pp. 6271-6280 ◽  
Author(s):  
A O Barut ◽  
A Inomata ◽  
G Junker
Keyword(s):  
Hydrogen Atom ◽  
Constant Curvature ◽  
Path Integral ◽  
Curved Space ◽  
Space Of Constant Curvature ◽  
Integral Treatment

Exact-Path-Integral Treatment of the Hydrogen Atom

1982 ◽  
Vol 48 (4) ◽  
pp. 231-234 ◽  
Author(s):  
Roger Ho ◽  
Akira Inomata
Keyword(s):  
Hydrogen Atom ◽  
Path Integral ◽  
Integral Treatment

scholarly journals Kinematic formula and tube formula in space of constant curvature

1990 ◽  
Vol 33 (1) ◽  
pp. 79-88
Author(s):  
Sungyun Lee
Keyword(s):  
Euclidean Space ◽  
Euler Characteristic ◽  
Constant Curvature ◽  
Kinematic Formula ◽  
Curvature Invariants ◽  
Space Of Constant Curvature

The Euler characteristic of an even dimensional submanifold in a space of constant curvature is given in terms of Weyl's curvature invariants. A derivation of Chern's kinematic formula in non-Euclidean space is completed. As an application of above results Weyl's tube formula about an odd-dimensional submanifold in a space of constant curvature is obtained.

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