In this paper, the quantum mechanical dynamics of a particle subjected to a damped coupled harmonic oscillator
potential was investigated by solving its quantum propagator using the Hida-Streit formulation—also known as the
White-Noise analysis. A coordinate transformation to decouple the system was also performed. After the decoupling
process, the authors obtained a separate expression of the Lagrangian for a one-dimensional damped harmonic
oscillator. Then, the obtained Lagrangian was cast to the classical action and evaluated their propagator using the white
noise path integration. The full form of the propagator was solved by taking the product of the individual propagator,
and from that, the wave function, particularly the ground state wave function was extracted by symmetrization and
setting the quantum number n1 = n2 = 0. The result agrees with the propagator of a coupled harmonic oscillator without
damping (Pabalay et.al, 2007) as the damping factor ? is turned off.