Classical and quantum mechanics of a spinning particle interacting with background fields

1992 ◽  
Vol 9 (5) ◽  
pp. 1395-1407 ◽  
Author(s):  
R H Rietdijk
Keyword(s):  
Quantum Mechanics ◽  
Spinning Particle ◽  
Background Fields ◽  
Classical And Quantum Mechanics

CLASSICAL AND QUANTUM MECHANICS OF A SPINNING PARTICLE INTERACTING WITH ANTI-SYMMETRIC NON-ABELIAN TENSOR FIELDS

1992 ◽  
Vol 07 (10) ◽  
pp. 881-892 ◽  
Author(s):  
R. H. RIETDIJK
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Dirac Operator ◽  
Tensor Fields ◽  
Spinning Particle ◽  
Gauge Invariant ◽  
Witten Index ◽  
Classical And Quantum Mechanics

We study the spinning particle interacting in a supersymmetric and gauge invariant way with anti-symmetric non-Abelian tensor fields. A quantum theory is presented. We calculate the Witten index for the corresponding Dirac operator and conclude that the anti-symmetric non-Abelian tensor fields do not give any contribution to it.

Sign in / Sign up

Export Citation Format

Share Document