Path Integral Junctions

Details Path Integral Junctions Path Integral Junctions

2012-01-24

arxiv.org/abs/1201.5115v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 14 figures

Scientific paper

We propose path integral description for quantum mechanical systems on compact graphs consisting of N segments of the same length. Provided the bulk Hamiltonian is segment-independent, scale-invariant boundary conditions given by self-adjoint extension of Hamiltonian operator turn out to be in one-to-one correspondence with N \times N matrix-valued weight factors in the path integral side. We show that these weight factors are given by N-dimensional unitary representations of the infinite dihedral group.

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