Schrödinger self-adjoint extension and quantum field theory

Giovanni Amelino-Camelia, Dongsu Bak

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


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", 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.

Original languageEnglish
Pages (from-to)231-238
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-4
StatePublished - 19 Jan 1995


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