The Discrete Eigenvalue Problem for Azimuthally Dependent Transport Theory
- 1 January 1976
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 59 (1) , 53-56
- https://doi.org/10.13182/nse76-a26809
Abstract
The discrete eigenvalue problem associated with the one-speed azimuthal Fourier harmonics in plane geometry is discussed. An explicit expression, well-suited to numerical evaluation, is given for the dispersion function, and the reality and maximum number of discrete eigenvalues are demonstrated. From numerical examples, it is found that quite often there are no discrete eigenvalues, particularly for the higher harmonics.Keywords
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