Effective Hamiltonians for Thin Dirichlet Tubes with Varying Cross-Section

Details Effective Hamiltonians for Thin Dirichlet Tubes with Varying Cross-Section Effective Hamiltonians for Thin Dirichlet Tubes with Varying Cross-Section

2010-11-16

arxiv.org/abs/1011.3645v1

Physics

Mathematical Physics

6 pages, 1 figure

Scientific paper

We show how to translate recent results on effective Hamiltonians for quantum
systems constrained to a submanifold by a sharply peaked potential to quantum
systems on thin Dirichlet tubes. While the structure of the problem and the
form of the effective Hamiltonian stays the same, the difficulties in the
proofs are different.

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