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Quantum Mechanics Fundamentals

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Pauli Exclusion Principle

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The quantum mechanical principle stating that two or more identical fermions (particles with half-integer spin) cannot occupy the same quantum state within a quantum system simultaneously.

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Bell's Theorem

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A theorem that demonstrates that no theory of local hidden variables can reproduce all the predictions of quantum mechanics, reinforcing the non-classical nature of quantum entanglement.

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Quantum Field Theory (QFT)

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The theoretical framework that combines classical field theory, special relativity, and quantum mechanics to construct a description of the fundamental interactions between particles and fields.

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Quantum Tunneling

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The quantum mechanical phenomenon where a particle has a probability of passing through a potential barrier, even if its energy is less than the height of the barrier.

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Superposition Principle

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A quantum system can exist in multiple states or configurations simultaneously until an observation collapses the system into one of the possible states.

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Heisenberg's Uncertainty Principle

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The principle that it is impossible to simultaneously know both the exact momentum and position of a particle.

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Quantum Entanglement

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A phenomenon where particles become correlated in such a way that the state of one particle instantly influences the state of another, no matter the distance between them.

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Born Rule

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A postulate in quantum mechanics that provides the probability that a measurement on a quantum system will yield a given result.

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Wave-Particle Duality

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The concept that every particle or quantum entity exhibits properties of both particles and waves.

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Quantum Decoherence

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The process by which a quantum system loses its quantum properties through interaction with the environment, causing the system to transition from a coherent quantum superposition to classical states.

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Quantum Superconductor

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A phase of matter characterized by the absence of electrical resistance and the expulsion of magnetic fields occurring in certain materials when cooled below a characteristic critical temperature.

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Quantum Critical Point

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A point at zero temperature where a continuous phase transition takes place between different quantum phases of matter.

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No-Cloning Theorem

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A theorem in quantum mechanics that states it is not possible to create an identical copy of an arbitrary unknown quantum state.

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Wave Function

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A mathematical description of the quantum state of a system; the square of its absolute value represents the probability density of finding a particle at a given point.

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Schrödinger's Cat

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A thought experiment that illustrates the concept of superposition in quantum mechanics, involving a cat that is simultaneously alive and dead, depending on an unobserved random event.

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