Application of the Theory of Numbers to the Magnetic Properties of a Free Electron Gas
- 1 November 1952
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 88 (3) , 451-464
- https://doi.org/10.1103/physrev.88.451
Abstract
The methods of number theory are used to find the magnetic properties of a free electron gas. The mathematical procedure which connects number theory to quantum mechanics is given in detail since the same or a similar method may be useful in other problems of solid state and nuclear physics.Keywords
This publication has 6 references indexed in Scilit:
- Some magnetic properties of metals I. General introduction, and properties of large systems of electronsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1952
- The diamagnetism of free electronsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1951
- ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVALThe Quarterly Journal of Mathematics, 1948
- The magnetic properties of bismuth, III. Further measurements on the de Haas-van Alphen effectProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1939
- The temperature dependence of free electron susceptibilityProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1935
- Diamagnetismus der MetalleThe European Physical Journal A, 1930