Spin Observables and Path Integrals

Details Spin Observables and Path Integrals Spin Observables and Path Integrals

2000-01-31

arxiv.org/abs/hep-th/0001220v1

Proceedings of the VI International Wigner Symposium, Ed. Engin Arik, p.781-789, Bogazici Universitesi Vakfi, Istambul (2002).

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

We discuss the formulation of spin observables associated to a non-relativistic spinning particles in terms of grassmanian differential operators. We use as configuration space variables for the pseudo-classical description of this system the positions $x$ and a Grassmanian vector $\vec\epsilon$. We consider an explicit discretization procedure to obtain the quantum amplitudes as path integrals in this superspace. We compute the quantum action necessary for this description including an explicit expression for the boundary terms. Finally we shown how for simple examples, the path integral may be performed in the semi-classical approximation, leading to the correct quantum propagator.

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