Orthonormal eigenvectors are a set of eigenvectors that are both orthogonal and normalized, meaning that each vector is perpendicular to the others and has a unit length. This concept is crucial in quantum mechanics because it allows for the representation of quantum states in a clear and manageable way, especially when dealing with Hermitian operators, which have real eigenvalues and guarantee the physical observables of a system.
congrats on reading the definition of Orthonormal Eigenvectors. now let's actually learn it.