The Wave Function of a Relativistic System

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Abstract
Three methods of handling problems in relativistic quantum mechanics are discussed. One is the Tamm-Dancoff method, one is the Bethe-Salpeter method, and the third is a new method intermediate between the other two. The connections between the three methods are investigated. It is shown that the new method provides a kind of bridge between the 3- and 4-dimensional points of view. The new method is illustrated with applications to simple examples.