scholarly journals Analytical solution for the Fermi-sea energy of two-dimensional electrons in a magnetic field: Lattice path-integral approach and quantum interference

1994 ◽  
Vol 49 (6) ◽  
pp. 4131-4135 ◽  
Author(s):  
Franco Nori ◽  
Yeong-Lieh Lin
Keyword(s):  
Magnetic Field ◽  
Analytical Solution ◽  
Path Integral ◽  
Quantum Interference ◽  
Lattice Path ◽  
Integral Approach ◽  
Two Dimensional ◽  
Path Integral Approach

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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