The usual configuration-space semiclassical approximation to wave equations (e.g., Schr\"odinger's equation) needs refinement at caustics. When expressed in a phase-space coherent-state representation, such equations admit a semiclassical solution that properly captures the effects of caustics. Transformation of this expression to the configuration-space representation yields a global, uniform, semiclassical approximation.
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John R. Klauder (1986) studied this question.
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