Definition of Liouvillian. Meaning of Liouvillian. Synonyms of Liouvillian

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Definition of Liouvillian

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Meaning of Liouvillian from wikipedia

- mathematics, the Liouvillian functions comprise a set of functions including the elementary functions and their repeated integrals. Liouvillian functions can...
- t}}=\{\,H,\rho \,\}} or, in terms of the linear Liouville operator or Liouvillian, i L ^ = ∑ i = 1 n [ ∂ H ∂ p i ∂ ∂ q i − ∂ H ∂ q i ∂ ∂ p i ] = − { H...
- "closed-form number"; in increasing order of generality, these are the Liouvillian numbers (not to be confused with Liouville numbers in the sense of rational...
- nonelementary integral. The Liouvillian functions are defined as the elementary functions and, recursively, the integrals of the Liouvillian functions. The mathematical...
- equation y′ = By.) An extension F ⊆ K of differential fields is called Liouvillian if all constants are in F, and K can be generated by adjoining a finite...
- Sudarshan and Göran Lindblad), master equation in Lindblad form, quantum Liouvillian, or Lindbladian is one of the general forms of Markovian master equations...
- In number theory, a Liouville number is a real number x {\displaystyle x} with the property that, for every positive integer n {\displaystyle n} , there...
- integration of the set of the elementary functions is the set of the Liouvillian functions. Algebraic function – Mathematical function Closed-form expression –...
- {\displaystyle W} ⁠ function cannot be expressed in terms of elementary (Liouvillian) functions, the first published proof did not appear until 2008. There...
- {\displaystyle i{\hat {L}}=-\{H,\cdot \}} , is sometimes referred to as the Liouvillian (see Liouville's theorem (Hamiltonian)). The concept of Poisson brackets...