scholarly journals Coherent State Path Integral for the Harmonic Oscillator and a Spin Particle in a Constant Magnetic field

1992 ◽  
Vol 40 (2) ◽  
pp. 119-159 ◽  
Author(s):  
Mario Bergeron
Keyword(s):  
Magnetic Field ◽  
Coherent State ◽  
Harmonic Oscillator ◽  
Path Integral ◽  
Constant Magnetic Field ◽  
Spin Particle ◽  
State Path

scholarly journals A COHERENT STATE PATH INTEGRAL FOR ANYONS

1995 ◽  
Vol 10 (12) ◽  
pp. 985-989 ◽  
Author(s):  
J. GRUNDBERG ◽  
T.H. HANSSON
Keyword(s):  
Coherent State ◽  
Harmonic Oscillator ◽  
Path Integral ◽  
Coherent States ◽  
Integral Formula ◽  
Harmonic Potential ◽  
One Dimensional ◽  
Change Of Variables ◽  
The One ◽  
State Path

We derive an su (1, 1) coherent state path integral formula for a system of two one-dimensional anyons in a harmonic potential. By a change of variables we transform this integral into a coherent states path integral for a harmonic oscillator with a shifted energy. The shift is the same as the one obtained for anyons by other methods. We justify the procedure by showing that the change of variables corresponds to an su (1, 1) version of the Holstein-Primakoff transformation.

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