## 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 d
On the spectra and eigenfunctions of the Schrödinger and Maxwell operators
✍ Scribed by D Eidus
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 1008 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract The zero set {__z__∈ℝ^2^:ψ(__z__)=0} of an eigenfunction ψ of the Schrödinger operator ℒ︁~__V__~=(i∇+**A**)^2^+__V__ on __L__^2^(ℝ^2^) with an Aharonov–Bohm‐type magnetic potential is investigated. It is shown that, for the first eigenvalue λ~1~ (the ground state energy), the following
## Abstract A general scheme for factorizing second‐order time‐dependent operators of mathematical physics is given, which allows a reduction of corresponding second‐order equations to biquaternionic equations of first order. Examples of application of the proposed scheme are presented for both con