Probability amplitude is a complex number used in quantum mechanics to describe the behavior of quantum systems, where its magnitude squared gives the probability of a particular outcome. It plays a central role in the formulation of quantum mechanics, particularly in the superposition and interference of quantum states.

Probability Amplitude

Probability amplitude

Complex numbers are essential in mathematics as they extend the real numbers by including the square root of negative one, defined as the imaginary unit 'i'. This allows for the solution of equations that have no real solutions, enabling progress in various fields such as engineering, physics, and applied mathematics.

complex number

Quantum mechanics is a fundamental theory in physics that describes the physical properties of nature at the smallest scales, such as atoms and subatomic particles. It introduces concepts like wave-particle duality, uncertainty principle, and quantum entanglement, which challenge classical intuitions about the behavior of matter and energy.

quantum mechanics

behavior of quantum systems

magnitude squared

probability of a particular outcome

Superposition is a fundamental principle of quantum mechanics where a quantum system can exist in multiple states simultaneously until it is measured. This principle leads to the probabilistic nature of quantum mechanics, where the act of measurement collapses the system into one of the possible states.

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