we present here the numerical solution of damped forced oscillator problem using haar wavelet and compare the numerical results obtained with some well-known numerical methods such as runge-kutta fourth order classical and taylor series methods. numerical results show that the present haar wavelet method gives more accurate approximations than above said numerical methods.

We study the dissipative dynamics of a single quantum harmonic oscillator subjected to parametric driving with in an effective Hamiltonian approach. Using Liouville von Neumann approach, we show that time evolution parametrically driven has strong connection classical damped Mathieu equation. Based on numerical analysis Monodromy matrix, demonstrate dynamical instability generated by are reduce...

The evaluation of the specific heat of an open damped quantum system is a subtle issue. One possible route is based on the thermodynamic partition function which is the ratio of the partition functions of system plus bath and of the bath alone. For the free damped particle it has been shown, however, that the ensuing specific heat may become negative for appropriately chosen environments. Being...

The definition of the specific heat for a damped quantum system is a subtle issue. A possible approach is based on an effective partition function defined as the ratio of the partition functions of system plus bath and of the bath alone. For the free damped particle it has been shown, however, that the ensuing specific heat may become negative for appropriately chosen environments. We argue tha...

The damping of the harmonic oscillator is studied in the framework of the Lindblad theory for open quantum systems. A generalization of the fundamental constraints on quantum mechanical diffusion coefficients which appear in the master equation for the damped quantum oscillator is presented; the Schrödinger, Heisenberg and Weyl-Wigner-Moyal representations of the Lindblad equation are given exp...