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The purpose of quantum mechanics is to provide a theoretical framework for understanding the behavior of particles and systems at the atomic and subatomic levels. It describes the probabilistic nature of particles and their interactions, which can be quite different from classical physics.

Quantum mechanics is a fundamental theory that encompasses various phenomena such as wave-particle duality, superposition, entanglement, and uncertainty. It provides a mathematical framework that allows scientists to calculate the probabilities of different outcomes when observing quantum systems.

While quantum mechanics was initially developed to explain the behavior of particles at the atomic and subatomic scale, its principles and mathematical formalism apply to all physical systems, regardless of their size. However, the effects of quantum mechanics are more noticeable and significant for small objects, such as atoms, molecules, and subatomic particles, where quantum phenomena dominate over classical behavior.

It's important to note that quantum mechanics does not replace classical mechanics but rather extends it to a realm where classical physics fails to provide an accurate description. At macroscopic scales, the predictions of quantum mechanics converge with classical physics, as quantum effects become negligible and classical behavior emerges.

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