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Quantum mechanics describes matter and light primarily at atomic and subatomic scales, where classical physics cannot fully account for observed behavior.
Quantum mechanics is the fundamental theory used to describe the behavior of matter and light at atomic and subatomic scales, where classical physics is insufficient. Its scope includes molecules, atoms, electrons, photons, and other quantum systems, and its methods extend to fields such as quantum chemistry, quantum biology, quantum information science, quantum technology, and quantum field theory. Classical mechanics can often be recovered as an approximation of quantum mechanics at ordinary macroscopic scales. The purpose of quantum mechanics is to calculate the possible outcomes and probabilities of measurements made on quantum systems. It explains phenomena such as quantized energy levels, wave-particle duality, uncertainty, interference, tunneling, superposition, and entanglement. Rather than usually predicting a single certain result, the theory uses a wave function and the Born rule to determine probability distributions, while the Schrödinger equation describes how a quantum state changes over time. Its predictions have been confirmed experimentally with extremely high accuracy.
Quantum mechanics describes matter and light primarily at atomic and subatomic scales, where classical physics cannot fully account for observed behavior.
It predicts probabilities for measurement outcomes rather than exact results in most cases; the wave function encodes probability amplitudes, and the Born rule converts them into probabilities.
Important quantum phenomena include discrete energy levels, wave-particle duality, the uncertainty principle, interference, quantum tunneling, superposition, and entanglement.
The Schrödinger equation governs the deterministic time evolution of a quantum state, while measurement produces probabilistic outcomes.
Quantum mechanics has broad applications, including quantum chemistry, quantum information, quantum computing, quantum communication, and quantum technology.
A fundamental physical theory describing the behavior and measurable properties of matter and light at atomic and subatomic scales.
A mathematical description of a quantum state that provides probability amplitudes for possible measurement outcomes.
The rule stating that the probability of a measurement outcome is obtained from the squared absolute value of its probability amplitude.
The equation that describes how a quantum state evolves over time.
The principle that certain pairs of physical quantities, such as position and momentum, cannot both have arbitrarily precise values simultaneously.
The quantum property in which particles such as photons and electrons display both wave-like and particle-like behavior.
A condition in which the states of multiple quantum systems are correlated so strongly that they cannot be fully described independently.
A phenomenon in which a quantum particle crosses a potential barrier that it could not overcome according to classical mechanics.
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