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Quantum systems undergo unitary transformations from "summary" of The Principles of Quantum Mechanics by P. A. M. Dirac

The transformation of a quantum system is a fundamental concept in quantum mechanics. When a quantum system undergoes a transformation, its state changes according to the laws of quantum mechanics. These transformations are represented by unitary operators, which preserve the inner product of the state vectors in the Hilbert space. Unitary transformations are reversible, meaning that if a quantum system undergoes a unitary transformation, it can always be brought back to its original state by applying the inverse transformation. This property is crucial in quantum mechanics, as it ensures that information about the initial state of the system is not lost during the transformation process. Moreover, unitary transfo...
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    The Principles of Quantum Mechanics

    P. A. M. Dirac

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