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Exactly solvable 1-dimensional Schr¨odinger equations play an important role in quantum physics. The best known are the harmonic oscillator and the radial equation for the hydrogen atom, which are cov...
On geometric perturbations of critical Schrödinger operators with a surface interaction
geometric perturbations critical Schrö dinger operators surface interaction
2010/4/13
We study singular Schrodinger operators with an attractive interaction supported by a closed smooth surface A in R^3 and analyze their behavior in the vicinity of the critical situation where such an ...