Relative trace formulas are derived for Neumann and transmission boundary conditions in multi-obstacle scattering, yielding Casimir energy interpretations and a rigorous one-dimensional Lifshitz formula.
3, 244–273, DOI 10.1016/0001-8708(77)90057-3
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Relative trace formulas for obstacle scattering with Neumann and transmission boundary conditions
Relative trace formulas are derived for Neumann and transmission boundary conditions in multi-obstacle scattering, yielding Casimir energy interpretations and a rigorous one-dimensional Lifshitz formula.