Quantum damped oscillator and classical formulation of quantum mechanics

The quadrature marginal distribution for quantum damped oscillator described by the Caldirola–Kanai model with the constant frequency is introduced in a frame of a classical-like formulation of quantum mechanics based on a symplectic tomography scheme. The marginal distribution for coherent states and Fock states of the damped oscillator expressed explicitly in terms of Gaussian and Hermite polynomials.