✦ LIBER ✦
On 1–dimensional dissipative Schrödinger–type operators their dilations and eigenfunction expansions
✍ Scribed by H.–Ch. Kaiser; H. Neidhardt; J. Rehberg
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 203 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We study in detail Schrödinger–type operators on a bounded interval of R with dissipative boundary conditions. The characteristic function of this operator is computed, its minimal self–adjoint dilation is constructed and the generalized eigenfunction expansion for the dilation is developed. The problem is motivated by semiconductor physics.