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Article Dans Une Revue Journal of Mathematical Physics Année : 2021

Moyal equation—Wigner distribution functions for anharmonic oscillators

Résumé

We investigate the structure of Wigner distribution functions of energy eigenstates of quartic and sextic anharmonic oscillators. The corresponding Moyal equations are shown to be solvable, revealing new properties of Schrödinger eigenfunctions of these oscillators. In particular, they provide alternative approaches to their determination and corresponding eigenenergies, away from the conventional differential equation method, which usually relies on the not so widely known bi- and tri-confluent Heun functions.
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Dates et versions

hal-03643395 , version 1 (15-04-2022)

Identifiants

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T. T. Truong. Moyal equation—Wigner distribution functions for anharmonic oscillators. Journal of Mathematical Physics, 2021, 62 (10), pp.102103. ⟨10.1063/5.0021132⟩. ⟨hal-03643395⟩
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