Spectral estimates for two-dimensional Schroedinger operators with application to quantum layers
classification
🧮 math-ph
math.MPmath.SP
keywords
estimateslayersoperatorsquantumschroedingerspectraltwo-dimensionalapplication
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A logarithmic type Lieb-Thirring inequality for two-dimensional Schroedinger operators is established. The result is applied to prove spectral estimates on trapped modes in quantum layers.
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