In Physics, eigenvectors and eigenvalues play an important role. For example, solving [[Schrödinger's equation]] (one of the fundamental equations of [[Quantum mechanics]]) is a problem of finding Eigenvectors and Eigenvalues for a very complex linear operator. The ''quantization'' (which means that discrete values are acceptable in physics, but not all of them: for example, an electron can have spin 1/2 or -1/2, but never 1/3 or 1/10) that was previously a postulated of Quantum mechanics can be derived from the fact that the eigenvalues of the operators come in discrete sets. | In Physics, eigenvectors and eigenvalues play an important role. For example, solving [[Schrödinger's equation]] (one of the fundamental equations of [[Quantum mechanics]]) is a problem of finding Eigenvectors and Eigenvalues for a very complex linear operator. The ''quantization'' (which means that discrete values are acceptable in physics, but not all of them: for example, an electron can have spin 1/2 or -1/2, but never 1/3 or 1/10) that was previously a postulated of Quantum mechanics can be derived from the fact that the eigenvalues of the operators come in discrete sets. |