Schroedinger Self-adjoint Extension and Quantum Field Theory

Details Schroedinger Self-adjoint Extension and Quantum Field Theory Schroedinger Self-adjoint Extension and Quantum Field Theory

1994-06-30

arxiv.org/abs/hep-th/9406213v1

Phys.Lett. B343 (1995) 231-238

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Plain LaTex, MIT-CTP-2329

Scientific paper

10.1016/0370-2693(94)01448-L

We argue that the results obtained using the quantum mechanical method of self-adjoint extension of the Schr\"odinger Hamiltonian can also be derived using Feynman perturbation theory in the investigation of the corresponding non-relativistic field theories. We show that this is indeed what happens in the study of an anyon system, and, in doing so, we establish a field theoretical description for ``colliding anyons", {\it i.e.} anyons whose quantum mechanical wave functions satisfy the non-conventional boundary conditions obtained with the method of self-adjoint extension. We also show that analogous results hold for a system of non-abelian Chern-Simons particles.

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