Quantum mechanics applies at all scales from "summary" of The Principles of Quantum Mechanics by P. A. M. Dirac
The principles of quantum mechanics have been found to apply not only to atomic phenomena but also to macroscopic systems. This is a most striking fact, and one of the reasons for it is that the quantum equations involve Planck's constant h, which is exceedingly small in ordinary units. As a result, the quantum effects tend to be very small and difficult to observe except in delicate laboratory experiments. However, it is possible for these effects to become significant in systems involving a large number of particles, such as a crystal. In such cases, the effects of individual particles can combine together in such a way as to produce a noticeable result on a macroscopic scale. This is why quantum mechanics can be relevant not only to the microscopic world but also to the world of everyday experience. Further...
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