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・ Probabilistic metric space
・ Probabilistic neural network
・ Probabilistic number theory
・ Probabilistic prognosis
・ Probabilistic programming language
・ Probabilistic proposition
・ Probabilistic relevance model
・ Probabilistic risk assessment
・ Probabilistic roadmap
・ Probabilistic soft logic
・ Probabilistic Turing machine
・ Probabilistic voting model
・ Probabilistic-based design optimization
・ Probabilistically checkable proof
・ Probability
Probability amplitude
・ Probability and statistics
・ Probability axioms
・ Probability bounds analysis
・ Probability box
・ Probability current
・ Probability density function
・ Probability derivations for making rank-based hands in Omaha hold 'em
・ Probability distribution
・ Probability distribution function
・ Probability in the Engineering and Informational Sciences
・ Probability integral transform
・ Probability interpretations
・ Probability mass function
・ Probability matching


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Probability amplitude : ウィキペディア英語版
Probability amplitude

In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.
Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the "Born probability". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.
==Overview==
(詳細はウィキペディア(Wikipedia)

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