Accession Number:

AD0259872

Title:

UNIQUENESS THEOREMS UNDER THE RADIATION CONDITION

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV BERKELEY

Personal Author(s):

Report Date:

1960-08-31

Pagination or Media Count:

1.0

Abstract:

Uniqueness and existence theorems are given for the solutions of the time-independent Schroedingers equation which satisfy Sommerfelds 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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE