Letters on Wave Mechanics: Correspondence with H. A. Lorentz, Max Planck, and Erwin Schrodinger by Albert Einstein

Author:Albert Einstein [Einstein, Albert]
Language: eng
Format: mobi
Publisher: Philosophical Library/Open Road
Published: 2011-03-14T04:00:00+00:00

E is a constant independent of the coordinates; there are as many wave problems as there are energy values E, and of course the eigenvalues E are to be particularly considered here since only for these can the boundary conditions be satisfied. Your calculation of the eigenvalues* shows that one must understand E to be the energy of the electron, in the sense that the energy is set equal to zero when the electron is at rest at an infinite distance from the nucleus. Putting it another way, at any point x,y,z is the kinetic energy that the electron would have at that point for the prescribed value of E. This kinetic energy corresponds to the velocity

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