Polymer quantization on the half-line

Details Polymer quantization on the half-line Polymer quantization on the half-line

2012-01-13

arxiv.org/abs/1201.2886v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages

Scientific paper

We investigate polymer quantization on the half-line, constructing a one-parameter family of polymer Hamiltonians that are analogous to the Robin family of continuum boundary conditions for the half-line Schrodinger Hamiltonian. Applications include the free particle, the attractive Coulomb potential, the scale invariant potential and a black hole described in terms of Einstein-Rosen wormhole throat dynamics. The spectrum is analyzed by a combination of analytic and numerical techniques. In the continuum limit, the full Robin family of boundary conditions can be recovered via a suitable fine-tuning but the Dirichlet-type boundary condition emerges as generic.

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