Friday, January 8, 2010

In scattering , can any object be treated as a quantumic particle with a momentum and a state?

In quantum there is the topic ';scattering '; in which the particles are treated with a quantum state and momentum so that the calcualtions of incoming and outgoing flux ( probability) are made...In other word, can we investigate the states of any object such as a ball after coliision with other object in the quantum manner?In scattering , can any object be treated as a quantumic particle with a momentum and a state?
Yes, any object can, in theory, be treated as a single ';state'; that is scattered from some potential, with some probability that it ends up in a given direction. Of course, for an object (such as a billiard ball) of macroscopic size, the only final states with any reasonable probability are those for which the result is near ';classical';. And writing the initial state of a collection of ~10^23 particles that make up a macroscopic object as a single state (without approximation) is essentially impossible.





In other words, you COULD treat an everyday collision involving macroscopic objects as a quantum scattering problem, but you'd certainly be better off with classical mechanics for such situations; the probability of the actual result deviating from the classical result by even a tiny amount is pretty much zero.

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