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Noncommutative Heat Kernel |
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| Authors: | Vassilevich Dmitri V |
| Institution: | (1) Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53 115 Bonn 1;(2) SFB, BiBoS, 611 Bonn, Bielefeld;(3) IZKS CERFIM, Accademia di Architettura, Locarno, Germany;(4) Institute of Mathematics, 3 Tereshchenkivs ka, Kyiv, 01601, Ukraine |
| Abstract: | Schrödinger operators on Sobolev spaces are considered as new solvable models with point interactions. A simple formula for the deficiency indices of a minimal Schrödinger operator with point interactions is given. Examples of point interactions on the space W21(
3) are constructed.Mathematical Subject Classification (2000). 37J10, 47A10 |
| Keywords: | Schrö dinger operator point interactions Sobolev space deficiency indices self-adjoint extension |
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