UNIQUENESS THEOREMS UNDER THE RADIATION CONDITION
Abstract
Uniqueness and existence theorems are given for the solutions of the time-independent Schroedinger's equation which satisfy Sommerfeld's radiation condition. It is shown that, under appropriate conditions, the radiating solution is the limit of the initial value solution of the time-dependent equation as the time grows indefinitely. It is also shown that the L2-solutions of the Schroedinger equation with imaginary energy tend to the radiative solution if the imaginary part of the energy tends to zero. Lastly, the radiation condition is shown to ensure uniqueness of the solutions to some electromagnetic problems involving infinite boundaries. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 31, 1960
- Accession Number
- AD0259872
Entities
People
- Farouk M. Odeh
Organizations
- University of California, Berkeley