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The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation
transmission eigenvalues inverse spectral problem variable-speed wave equation
2011/7/26
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation.
Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies
Scattering Potentials Infi nite Refl ection Transmission Coefficients real Energies
2010/4/16
Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of complex scattering po...
We develop some new analytic bounds on transmission probabilities (and the related reflection probabilities and Bogoliubov coefficients) for generic one-dimensional scattering problems. To do so we re...