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However, even in this case the total wave function is dependent on time as explained in the section on linearity below. In the language of linear algebra , this equation is an eigenvalue equation . Therefore, the wave function is an eigenfunction of the Hamiltonian operator with corresponding eigenvalue(s) E {\displaystyle E} .
A wave function is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Knowledge of the wave function together with the rules for the system's evolution in time exhausts all that can be predicted about the system's behavior.
This prediction was first discussed by Gregory Breit in 1928 [1] [2] and later by Erwin Schrödinger in 1930 [3] [4] as a result of analysis of the wave packet solutions of the Dirac equation for relativistic electrons in free space, in which an interference between positive and negative energy states produces an apparent fluctuation (up to the ...
Bust of Schrödinger, in the courtyard arcade of the main building, University of Vienna, Austria Erwin Rudolf Josef Alexander Schrödinger (UK: / ˈ ʃ r ɜː d ɪ ŋ ər, ˈ ʃ r oʊ d ɪ ŋ ər /, US: / ˈ ʃ r oʊ d ɪ ŋ ər /; [3] German: [ˈɛɐ̯vɪn ˈʃʁøːdɪŋɐ]; 12 August 1887 – 4 January 1961), sometimes written as Schroedinger or Schrodinger, was an Austrian-Irish ...
The quantum-mechanical "Schrödinger's cat" paradox according to the many-worlds interpretation.In this interpretation, every quantum event is a branch point; the cat is both alive and dead, even before the box is opened, but the "alive" and "dead" cats are in different branches of the multiverse, both of which are equally real, but which do not interact with each other.
An example of a standing wave is a violin string, which is fixed at both ends and can be made to vibrate. The waves created by a stringed instrument appear to oscillate in place, moving from crest to trough in an up-and-down motion. The wavelength of a standing wave is related to the length of the vibrating object and the boundary conditions.
The wave function of an initially very localized free particle. In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common symbols for a wave function are the Greek letters ψ and Ψ (lower-case and capital psi, respectively). Wave functions are complex ...
The definition of quantum theorists' terms, such as wave function and matrix mechanics, progressed through many stages.For instance, Erwin Schrödinger originally viewed the electron's wave function as its charge density smeared across space, but Max Born reinterpreted the absolute square value of the wave function as the electron's probability density distributed across space; [3]: 24–33 ...