A numerical investigation of the non-linear equation of motion of the one dimensional anti-ferromagnet

1985 ◽  
Vol 56 (9) ◽  
pp. 759-762 ◽  
Author(s):  
B.V. Costa ◽  
A.S.T. Pires
Keyword(s):  
Linear Equation ◽  
Numerical Investigation ◽  
Equation Of Motion ◽  
One Dimensional ◽  
Non Linear Equation ◽  
Non Linear ◽  
The One

scholarly journals LOCAL FRACTIONAL SUPERSYMMETRY FOR ALTERNATIVE STATISTICS

1996 ◽  
Vol 11 (11) ◽  
pp. 899-913 ◽  
Author(s):  
N. FLEURY ◽  
M. RAUSCH DE TRAUBENBERG
Keyword(s):  
Group Theory ◽  
Braid Group ◽  
Equation Of Motion ◽  
Coset Space ◽  
One Dimensional ◽  
The One

A group theory justification of one-dimensional fractional supersymmetry is proposed using an analog of a coset space, just like the one introduced in 1-D supersymmetry. This theory is then gauged to obtain a local fractional supersymmetry, i.e. a fractional supergravity which is then quantized à la Dirac to obtain an equation of motion for a particle which is in a representation of the braid group and should describe alternative statistics. A formulation invariant under general reparametrization is given by means of a curved fractional superline.

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