Liouville-von Neumann Equation (Q6534349): Difference between revisions
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Created claim: instance of (P31): continuous-time expression (Q6672090) |
Changed claim: in defining formula (P983): \mathrm{i} |
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Latest revision as of 16:17, 28 July 2025
describes how a density operator (for pure or for mixed states) evolves in time
- Quantum Liouville Equation
- von Neumann equation
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Liouville-von Neumann Equation |
describes how a density operator (for pure or for mixed states) evolves in time |
|
Statements
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Just as the Schrödinger equation describes how pure states evolve in time, the Liouville-von Neumann equation describes how a density operator evolves in time. Note that there can be different density operators for pure or for mixed states.
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Note the similarity with the classical Liouville equation where the commutator brackets [.,.] are replaced by Poisson brackets {.,.}
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