Schrödinger equation: Difference between revisions
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Mathematically, the Schrodinger equation is an example of an [[eigenvalue problem]] whose eigenvectors are called "wavefunctions" or "quantum states" and whose eigenvalues correspond to [[energy level|energy levels]]. Built into the eigenvectors are the probabilities of measuring all values of all physical [[observable|observables]], meaning that a solution of the Schrodinger equation provides a complete physical description of a quantum system. | Mathematically, the Schrodinger equation is an example of an [[eigenvalue problem]] whose eigenvectors are called "wavefunctions" or "quantum states" and whose eigenvalues correspond to [[energy level|energy levels]]. Built into the eigenvectors are the probabilities of measuring all values of all physical [[observable|observables]], meaning that a solution of the Schrodinger equation provides a complete physical description of a quantum system. | ||
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Revision as of 12:14, 8 February 2007
The Schrodinger equation is one of the fundamental equations of quantum mechanics and describes the spatial and temporal behavior of quantum-mechanical systems. Austrian physicist Erwin Schrodinger first proposed the equation in early 1926.
Mathematically, the Schrodinger equation is an example of an eigenvalue problem whose eigenvectors are called "wavefunctions" or "quantum states" and whose eigenvalues correspond to energy levels. Built into the eigenvectors are the probabilities of measuring all values of all physical observables, meaning that a solution of the Schrodinger equation provides a complete physical description of a quantum system.