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Quantum mechanics is a branch of physics that provides a theoretical framework for understanding the behavior of particles and systems at the microscopic scale. It is a fundamental theory that describes the fundamental building blocks of matter, such as atoms, electrons, and photons, and their interactions.

At its core, quantum mechanics introduces the concept of wave-particle duality, which suggests that particles like electrons and photons can exhibit both wave-like and particle-like properties depending on how they are observed or measured. This departure from classical mechanics, which describes the behavior of macroscopic objects, arises from the inherent uncertainty and probabilistic nature of quantum phenomena.

Quantum mechanics is governed by a set of mathematical principles and equations, such as the Schrödinger equation, which describes the evolution of the wave function that represents the state of a quantum system. The wave function contains information about the probabilities of various outcomes of measurements or observations.

Key principles and phenomena in quantum mechanics include:

  1. Superposition: Quantum systems can exist in a superposition of multiple states simultaneously. For example, an electron can be in a superposition of spin-up and spin-down states until a measurement is made.

  2. Measurement and Wave Function Collapse: When a measurement is made on a quantum system, the wave function collapses to one of the possible measurement outcomes. The specific outcome is probabilistic, and the probabilities are determined by the wave function.

  3. Uncertainty Principle: The uncertainty principle, formulated by Werner Heisenberg, states that certain pairs of physical properties, such as position and momentum, cannot be precisely known simultaneously. There is a fundamental limit to the precision with which these properties can be measured.

  4. Quantum Entanglement: Quantum entanglement is a phenomenon where two or more particles become correlated in such a way that the state of one particle cannot be described independently of the state of the other, regardless of the distance between them. This concept has profound implications for quantum information and quantum computing.

Quantum mechanics has been extensively tested and has provided accurate predictions for a wide range of physical phenomena. It plays a crucial role in various fields of science and technology, including quantum physics, condensed matter physics, quantum chemistry, and quantum information science.

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