C.C. Bernido

Bio: C.C. Bernido is an academic researcher from Centre national de la recherche scientifique. The author has contributed to research in topics: Path integral formulation & Singular point of a curve. The author has an hindex of 1, co-authored 1 publications receiving 4 citations.

Path integrals for boundaries and topological constraints: A white noise functional approach

Abstract: Using the Streit–Hida formulation where the Feynman path integral is realized in the framework of white noise analysis, we evaluate the quantum propagator for systems with boundaries and topological constraints. In particular, the Feynman integrand is given as generalized white noise functionals for systems with flat wall boundaries and periodic constraints. Under a suitable Gauss–Fourier transform of these functionals the quantum propagator is obtained for: (a) the infinite wall potential; (b) a particle in a box; (c) a particle constrained to move in a circle; and (d) the Aharonov–Bohm system. The energy spectrum and eigenfunctions are obtained in all four cases.

Path integral treatment of the gravitational anyon in a uniform magnetic field

Abstract: The Green function for a relativistic particle interacting with a gravitational point source and a flux confined at the origin of the ( rho , phi )-space is evaluated using Feynman's summation-over-histories. The bound state energy spectrum is calculated when a uniform magnetic field is applied perpendicular to the ( rho , phi )-space.

Path-integral treatment of ring-shaped topological defects

Abstract: Explicit path integration is carried out in a space with a ring-shaped topological defect using toroidal coordinates. The toroidal Aharonov-Bohm experiment is taken as an example.