2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/195153We investigate quasi-hermitian quantum mechanics in phase space using standard deformation quantization methods: Groenewold star products and Wigner transforms. We focus on imaginary Liouville theory as a representative example where exact results are easily obtained. We emphasize spatially periodic solutions, compute various distribution functions and phase-space metrics, and explore the relationships between them.Accepted by Journal of Mathematical PhysicsQuantum PhysicsHigh Energy Physics - TheoryMathematical Physicstext