Real criticality eigenvalues of the one-speed linear transport operator

1995 ◽  
Vol 24 (9) ◽  
pp. 1295-1317 ◽  
Author(s):  
D. C. Sahni ◽  
E. B. Dahl ◽  
N. J. Sjöstrand
Keyword(s):  
Transport Operator ◽  
Linear Transport ◽  
The One

On the Calculation of the Fundamental Mode of the One Velocity Neutron Transport Operator

1975 ◽  
Vol 53 (5) ◽  
pp. 555-557
Author(s):  
Lakshmi Rangaswamy ◽  
Feroz Ahmed
Keyword(s):  
Fundamental Mode ◽  
Neutron Transport ◽  
Eigenvalues And Eigenfunctions ◽  
Transport Operator ◽  
The One

We report here the P1 and P3 solutions (eigenvalues and eigenfunctions) for the case of one velocity pulsed slabs.

scholarly journals On the spectrum of the linear transport operator

1974 ◽  
Vol 15 (11) ◽  
pp. 1987-1997 ◽  
Author(s):  
Edward W. Larsen ◽  
Paul F. Zweifel
Keyword(s):  
Transport Operator ◽  
Linear Transport

Spectral analysis of the one-speed transport operator and the functional model

1999 ◽  
Vol 33 (3) ◽  
pp. 199-207 ◽  
Author(s):  
Yu. A. Kuperin ◽  
S. N. Naboko ◽  
R. V. Romanov
Keyword(s):  
Spectral Analysis ◽  
Functional Model ◽  
Transport Operator ◽  
The One

On eigendistributions in linear transport theory

1979 ◽  
Vol 83 (3-4) ◽  
pp. 303-326 ◽  
Author(s):  
C. G. Lekkerkerker
Keyword(s):  
Transport Theory ◽  
Neutron Transport ◽  
Full Range ◽  
Scattering Function ◽  
Neutron Transport Equation ◽  
One Dimensional ◽  
Factorization Problem ◽  
Linear Transport ◽  
The One ◽  
Linear Transport Theory

SynopsisAn attempt is made to provide a sound basis for the method of singular eigenfunction expansions which has been in vogue in linear transport theory for some decades. The procedure is exemplified by a treatment of the one-dimensional neutron transport equation with a degenerate scattering function. Full-range as well as half-range results are derived. At the end of the paper the implications for a certain matrix factorization problem are given.

On the self-adjoint subspace of the one-velocity transport operator

2011 ◽  
Vol 89 (1-2) ◽  
pp. 106-116 ◽  
Author(s):  
R. V. Romanov ◽  
M. A. Tikhomirov
Keyword(s):  
The Self ◽  
Transport Operator ◽  
The One
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