Phys. Rev. Lett. 61, 2401–2404 (1988)Boundary Conditions from Path IntegralsReceived 29 February 1988; published in the issue dated 21 November 1988 A particle moving in two dimensions in a repulsive r-2 potential, and in the presence of a magnetic flux line, is examined as an example of a system for which the Schrödinger Hamiltonian is not essentially self-adjoint. The path-integral propagator is, nevertheless, shown to exist, and to define a unique self-adjoint extension of the Hamiltonian, corresponding to specific boundary conditions at the origin. Physical implications are discussed. © 1988 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.61.2401
DOI:
10.1103/PhysRevLett.61.2401
PACS:
03.65.Db, 05.40.+j
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