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A formalism is developed for describing approximate classical behaviour infinite (but possibly large) quantum systems. This is done in terms of astructure common to classical and quantum mechanics, viz. a Poisson space witha transition probability. Both the limit where Planck's constant goes to zeroin a fixed finite system and the limit where the size of the system goes toinfinity are incorporated. In either case, classical behaviour is seen only forcertain observables and in a restricted class of states.Comment: LaTeX, 11 page

CLASSICAL BEHAVIOR IN QUANTUM MECHANICS: A TRANSITION PROBABILITY APPROACH