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University of Tennessee, Knoxville

Masters Theses

1961

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Full-Text Articles in Physical Sciences and Mathematics

Separation Of The N-Sphere By An (N - 1)-Sphere, James C. Cantrell Dec 1961

Separation Of The N-Sphere By An (N - 1)-Sphere, James C. Cantrell

Masters Theses

In this thesis we consider certain (n-1)-spheres embedded in S^n (we will frequently use the fact that S^n is topologically equivalent to the one point compactification of E^n). The problem is then to establish the existence or non-existence of certain topological properties of the two domains into which S^n is separated by the given (n-1)-spheres.


Quantum Kinetic Equations For Plasmas And Radiation; Part Ii. Cyclotron Instabilities In A Bounded Plasma, Philip B. Burt Jun 1961

Quantum Kinetic Equations For Plasmas And Radiation; Part Ii. Cyclotron Instabilities In A Bounded Plasma, Philip B. Burt

Masters Theses

The procedure for obtaining "kinetic" equations for internal distribution functions of a system was first developed by Bogoliubov* (1) in his study of.the properties of un-ionized gases. Bogoliubov also indicated some of the problems which would be encountered in a similar development for systems interacting through long-range Coulomb forces . Born and Green (3) , Kirkwood and collaborators (13, 25) and Yvon (37 ) also studied classical and quantum systems, using techniques similar to those developed by Bogolilibov. However, they too were primarily interested in un-ionized gases and liquids. Recently, Rosenbluth and Rostoker (26) derived kinetic equations for a classical …