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# Accession Number:

## AD0617880

# Title:

## ENERGY-DEPENDENT NEUTRON TRANSPORT THEORY IN PLANE GEOMETRY. II. EIGENFUNCTIONS AND FULL-RANGE COMPLETENESS,

# Descriptive Note:

# Corporate Author:

## RAND CORP SANTA MONICA CALIF

# Report Date:

## 1965-06-01

# Pagination or Media Count:

##
40.0

# Abstract:

## An earlier treatment of the energy-dependent transport equation is extended to include the case in which cross sections are functions of energy. The technique again consists of finding solutions to the homogeneous transport equation after expanding in terms of a complete set of functions in the energy variable. The full-range completeness theorem for these eigenfunctions requires the solution of a coupled set of singular integral equations. This solution is effected by a generalization of a trick used by Case and is applied to the problem for the infinite medium Greens function. Numerical results are given for a heavy gas model. The half-range completeness theorem, which may be applied to half-space and finite slab problems, is proven in a companion paper. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#