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Natural coordinates for electrons in solids

Joshua Zak

Open publisher page 15 citations

Abstract

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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What this paper is about

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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OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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.

Key concepts: Electron, Bipolar coordinates, Motion (physics), Log-polar coordinates, Spherical coordinate system, Symmetry (geometry), Orthogonal coordinates, Physics

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