Probability amplitude determines likelihood of outcomes from "summary" of The Principles of Quantum Mechanics by P. A. M. Dirac
The probability amplitude is a fundamental concept in quantum mechanics that plays a crucial role in determining the likelihood of different outcomes in quantum systems. It is a complex number that encodes information about the state of a system and how it evolves over time. By calculating the square of the absolute value of the probability amplitude, one can obtain the probability of finding a particle in a particular state or location. The probability amplitude is a key feature of quantum mechanics that distinguishes it from classical physics. In classical physics, the state of a system is described by a set of well-defined parameters, and the evolution of the system is determined by deterministic equations. In contrast, quantum mechanics introduces the concept of superposition, where a system can exist in multiple states simultaneously, each with its own probability amplitude. When a measurement is made on a quantum system, the probability amplitudes of the different possible outcomes interfere with each other, leading to a probabilistic distribu...
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