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Braided Matrix Structure of -Minkowski Space and -Poincare Group
Shahn Majid, Ulrich Meyer
We clarify the relation between the approach to -Minkowski space of Carow-Watamura et al. with an approach based on the idea of braided Hermitean matrices. The latte…
Supersymmetry and the Atiyah-Singer Index Theorem II: The Scalar Curvature Factor in the Schr{\" o}dinger Equation
Ali Mostafazadeh
The quantization of the superclassical system used in the proof of the index theorem results in a factor of in the Hamiltonian. The path integral expression of the…
Topological Aspects of the Non-adiabatic Berry Phase
Ali Mostafazadeh, Arno Bohm
The topology of the non-adiabatic parameter space bundle is discussed for evolution of exact cyclic state vectors in Berry's original example of split angular momentum eigenstates.…
Supersymmetry and the Atiyah-Singer Index Theorem I: Peierls Brackets, Green's Functions, and a Supersymmetric Proof of the Index Theorem
Ali Mostafazadeh
The Peierls bracket quantization scheme is applied to the supersymmetric system corresponding to the twisted spin index theorem. A detailed study of the quantum system is presented…