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eigenfunction
This term is used exclusively within the specialized registers of linear algebra, quantum mechanics, and differential equations. It describes a specific mathematical relationship where an operator acts on a function without changing its fundamental shape, only scaling it by a scalar value known as the eigenvalue.
In a physical context, particularly in quantum mechanics, eigenfunctions represent the possible states of a system, such as the wave function of an electron in an atom. Because it is a technical term of art, it is rarely encountered outside of academic or professional scientific discourse.