We show that the time evolved Wigner function of a quantum particle under the action of a smooth potential can be formally expanded in powers of h, where each term of the expansion can be computed in terms of the corresponding classical flow. Moreover the solution can be approximated by the N-order truncation with an error O(h(N+1)). (c) 2006 American Institute of Physics.
Semiclassical expansion of Wigner functions / Pulvirenti, Mario. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 47:5(2006), pp. 052103-052115. [10.1063/1.2200143]
Semiclassical expansion of Wigner functions
PULVIRENTI, Mario
2006
Abstract
We show that the time evolved Wigner function of a quantum particle under the action of a smooth potential can be formally expanded in powers of h, where each term of the expansion can be computed in terms of the corresponding classical flow. Moreover the solution can be approximated by the N-order truncation with an error O(h(N+1)). (c) 2006 American Institute of Physics.File allegati a questo prodotto
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