Spectral estimates for two-dimensional Schroedinger operators with application to quantum layers

Details Spectral estimates for two-dimensional Schroedinger operators with application to quantum layers Spectral estimates for two-dimensional Schroedinger operators with application to quantum layers

2006-12-21

arxiv.org/abs/math-ph/0612070v1

Physics

Mathematical Physics

Scientific paper

10.1007/s00220-007-0318-z

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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