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arXiv · hep-th/9406213

Schroedinger Self-adjoint Extension and Quantum Field Theory

G. Amelino-Camelia·D. Bak
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Abstract

We argue that the results obtained using the quantum mechanical method of self-adjoint extension of the Schrödinger 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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G. Amelino-Camelia, D. Bak. 1994-06-30. Schroedinger Self-adjoint Extension and Quantum Field Theory. https://doi.org/10.1016/0370-2693(94)01448-l

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