Abstract
Semiclassical quantization conditions are applied to a variety of relativistic formulations of the problem of two spinless particles bound by a vector or scalar force. The WKB quantization conditions are found to yield the correct spectra whenever the equations of motion are separable. Miller's new quantum condition, making use of periodic orbits, is applied to almost circular orbits. It provides an approximate method of quantization for almost circular orbits in the action-at-a-distance formulation of relativistic charged particles interacting electromagnetically.
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