EXACT SOLUTION OF A CRITICAL PROBLEM FOR A SLAB. Report No. 160/IX

Technical Report · Wed Jun 01 04:00:00 EDT 1960

OSTI ID:4071058

Zelazny, R

Using the Case method of expansion of the angular neutron distribution into series with respect to eigenfunctions of the plane Boltzmann equation, the critical problem of a slab was formulated. By means of symmetry considerations the problem of boundary condition was reduced to one singular integral equation, which was treated by classical methods. This treatment gave an integral equation for expansion coefficients which, by means of a simple transformation, can be reduced to a Fredholm type with a regular kernel, and an additional equation which plays the role of an exact critical condition. (auth)

• Research Organization: Polish Academy of Sciences. Inst. of Nuclear Research. Warsaw
• NSA Number: NSA-15-011913
• OSTI ID: 4071058
• Report Number(s): NP-9688
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR DISTRIBUTION
ANGULAR MOMENTUM
ATOMIC MODELS
BOLTZMANN EQUATION
BOUNDARY CONDITIONS
CASE METHOD
CRITICALITY
DIFFERENTIAL EQUATIONS
DISTRIBUTION
FERMIONS
INTEGRALS
INTERACTIONS
MATHEMATICS
MATRICES
MOMENTUM
NEUTRONS
ORBITS
PHYSICS
PLATES
S-MATRIX
SCATTERING
SCATTERING AMPLITUDE
SPIN
SYMMETRY
TENSORS
VECTORS