The Caldirola-Kanai Model and Its Equivalent Theories for a Damped Oscillator

Ming-Chang Huang；Ming-Chya Wu

Chinese Journal of Physics

36卷4期（1998 / 08 / 01）

566 - 587

英文

Based on the Caldirola-Kanai Hamiltonian, we first construct its equivalent theories of interest. In an equivalent theory, the Hamiltonian and the relation between the two Hilbert spaces are obtained by performing a quantum canonical transformation. Then, we use the path-integral technique directly to calculate the exact propagators of the theories. The properties of the Caldirola-Kanai model, including the time evolution of the given initial wave functions and the expectation values of the physical quantities of interest, are studied by using the obtained propagators.