Quantum spherical model in a random field: coherent state path integral approach

1998 ◽  
Vol 1 (1) ◽  
pp. 103-106
Author(s):  
Y.Q. Ma ◽  
W. Figueiredo
Keyword(s):  
Coherent State ◽  
Random Field ◽  
Path Integral ◽  
Spherical Model ◽  
Integral Approach ◽  
Path Integral Approach ◽  
State Path

Quantization on the circle

2006 ◽  
Vol 84 (5) ◽  
pp. 335-344
Author(s):  
M Merad
Keyword(s):  
Magnetic Field ◽  
External Field ◽  
Coherent State ◽  
Path Integral ◽  
Free Particle ◽  
Integral Approach ◽  
Topological Properties ◽  
Path Integral Approach ◽  
Second Stage ◽  
The Magnetic Field

We present, via the path-integral approach, the quantum study of a particle without spin constrained to move on a circle and subjected to the action of an external field (V, A). In the first stage, we follow the Faddeev–Senjanovic constraints technique that is essentially based on the Dirac algorithm; and in the second stage, we use the path-integral coherent state relative to the circle, compatible with the topological properties. In the two cases, the free particle and the problem of the magnetic field are shown as an illustrative calculation.PACS Nos.: 03.65–w, 03.65Ca, 03.65.Db

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