Quantum Damped Mechanical Oscillator

Figure 1

The uncertainties in position for the under-damped oscillator as a function of Ω𝑡 are governed by the modified Caldirola-Kanai Hamiltonian with dissipation coefficients 𝛾=0, 0.2Ω, 0.4Ω, 0.6Ω, 0.8Ω, and Ω, respectively.