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Springer eBooks

Green’s Function of a Spin- $$\tfrac {1}{2}$$ Particle in a Constant External Magnetic Field

Walter Dittrich, Martin Reuter

Published Jan 1, 2020• 0 citations
Publisher
DOI
10.1007/978-3-030-36786-2_39

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This paper is an extension of our previous work on density functional models of electrons in magnetic fields. A full ‘‘classical path’’ (CP) one-body Green’s function is used in the calculation of the kinetic functional and the one particle density. This treatment leads to a more precise expression of the density functional theory in the strong B case, in which magnetic fields are much stronger than the external scalar potential. In the semiclassical limit t→0, the CP Green’s function is checked by an exact solvable system, interactionless electrons in a central harmonic potential and a constant magnetic field. It turns out that the Green’s function is correct through the order O(t2). Furthermore, in the high B limit (but still t→0), the leading terms in B of the CP Green’s function are the same as those of the exact Green’s function in the entire t-expansion series.
Rotations and the Spin 12\frac{1}{2}21​ Particle in a Magnetic Field
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