Recent Results on Operator Techniques in the Description of Macroscopic Systems
In many classical systems the relevant quantities we are interested in change discontinuously. For instance, if you consider a certain population P, and its time evolution, the number of people forming P cannot change arbitrarily: if, at t0 = 0, P consists of N0 elements, at some later time t1 > t0, P may only consist of N1 elements, with N1 differing from N0 for an integer quantity. The same happens if our system consists of two (or more) different populations, P1 and P2 (e.g., preys and predators or two migrating species): again, the total number of their elements can only take, for obvious reasons, integer values.
KeywordsStock Market Operator Technique Annihilation Operator Number Operator Periodic Behavior
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