**Category:**

Historical Papers

**Sub-Category:**

Mechanics / Electrodynamics

**Keywords:**

Maxwell's equations

**Filename:**

Bateman_AnnMath_v15n1-4(1913)106-111.pdf

**Publication:**

Annals of Mathematics

**Abstract:**

There is some experimental evidence of the existence of radiations which are apparently corpuscular in character but also possess the properties of waves or pulses travelling through a continuous medium. The observed phenomena can probably be explained satisfactorily by supposing that the effective part of the disturbance is concentrated in certain regions and almost absent in others. It may, however, be of some interest to inquire if there are any solutions of Maxwell's equations which correspond to a corpuscular type of radiation. The solution which is discussed here fulfils this requirement but is of a type which is generally rejected in the treatment of the boundary problems of mathematical physics.

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