PERIODIC COHERENT STATES AND A PATH INTEGRAL FOR SPINS

1990 ◽  
Vol 05 (02) ◽  
pp. 375-390 ◽  
Author(s):  
TARO KASHIWA

A path integral formalism for quantum spins is discussed with the aid of a new coherent state. Under the study, we can see the reason why the path integral formula proposed recently by Nielsen and Rohrlich works so well and the origin of the parameter in their formula. A generalization to the case where spin magnitude is unfixed is also presented.

1995 ◽  
Vol 10 (12) ◽  
pp. 985-989 ◽  
Author(s):  
J. GRUNDBERG ◽  
T.H. HANSSON

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.


2005 ◽  
Vol 94 (3-4) ◽  
pp. 335-346 ◽  
Author(s):  
H. Bouguettaia ◽  
Is. Chihi ◽  
K. Chenini ◽  
M.T. Meftah ◽  
F. Khelfaoui ◽  
...  

2011 ◽  
Vol 326 (8) ◽  
pp. 2186-2242 ◽  
Author(s):  
Ulrich D. Jentschura ◽  
Jean Zinn-Justin

2009 ◽  
Vol 505 (2) ◽  
pp. 735-742 ◽  
Author(s):  
A. Perez ◽  
K. Mussack ◽  
W. Däppen ◽  
D. Mao

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