Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.175..107k&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 175, no. 1, Jan. 1991, p. 107-118.
Astronomy and Astrophysics
Astrophysics
Boltzmann Transport Equation, Eigenvalues, Neutron Scattering, Particle Density (Concentration), Slabs, Boundary Conditions, Singular Integral Equations, Time Dependence
Scientific paper
A technique which combines the invariant-embedding method with the eigenfunction-expansion method of Pahor and Zweifel (1969) is presently used to derive expressions for time-dependent X- and Y-functions of a one-speed neutron-transport problem in a finite slab with isotropic scattering. Attention is given not to the inversion scheme, but rather to the reflected and transmitted distribution under slab-bounding assumptions. An invariant imbedding argument is then applied to express the reflected and transmitted distribution for a given incident distribution.
Biswas G.
Karanjai Sitansubimal
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