Machine generated contents note: 1. Introduction -- 2. Phenomenological equations of motion for dissipative systems -- 3. Lagrangian formulations -- 4. Hamiltonian formulation -- 5. Hamilton-Jacobi formulation -- 6. Motion of a charge particle in an external electromagnetic field in the presence of damping -- 7. Noether and non-noether symmetries and conservation laws -- 8. Dissipative forces derived from many-body problems -- 9. particle coupled to a field -- 10. Damped motion of the central particle -- 11. Classical microscopic models of dissipation and minimal coupling rule -- 12. Quantization of dissipative systems -- 13. Quantization of explicitly time-dependent Hamiltonian -- 14. Density matrix and the Wigner distribution function -- 15. Path integral formulation of a damped harmonic oscillator -- 16. Quantization of the motion of an infinite chain -- 17. Heisenberg equations of motion for a particle coupled to a heat bath -- 18. Quantum mechanical models of dissipative systems