what is an Eigenfunction in quantum mechanics
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The function is called an eigenfunction, and the resulting numerical value is called the eigenvalue. Eigen here is the German word meaning self or own. It is a general principle of Quantum Mechanics that there is an operator for every physical observable.
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the branch of mechanics that deals with the mathematical description of the motion and interaction of subatomic particles, incorporating the concepts of quantization of energy, wave–particle duality, the uncertainty principle, and the correspondence principle
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