Natural coordinates for electrons in solids

Joshua Zak

doi:10.1063/1.3021962

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Natural coordinates for electrons in solids

FEB 01, 1970

The adage that solving a physics problem is a question of finding the right coordinate system is demonstrated for electrons in crystals. Coordinates that reflect the regularity of the crystal greatly simplify the problem.

DOI: 10.1063/1.3021962

Joshua Zak

THE DESCRIPTION OF A PROBLEM in physics can often be significantly simplified by a suitable choice of coordinates. Usually the choice of the best coördinates is dictated by the symmetry of the problem. Thus for a spherically symmetric potential it is most convenient to use spherical coordinates. In some cases it is very easy to choose the right coordinates; in other cases, the problem is not trivial at all. Here we will discuss the choice of suitable coördinates for the motion of electrons in solids.

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References

1. P. A. M. Dirac, The Principles of Quantum Mechanics, Oxford University Press, New York, N.Y. (1958).
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J. Zak, Phys. Rev. 168, 686 (1968).https://doi.org/PHRVAO
5. L. D. Landau, E. M. Lifshitz, Statistical Physics, Pergamon Press, London (1958).
6. J. Zak, Physics Letters (to be published);
Phys. Rev. (to be published).
7. J. Zak, Phys. Rev. 177, 1151 (1969).https://doi.org/PHRVAO

More about the authors

Joshua Zak, Technion, Haifa.