We present a general method to evaluate large amplitude time-dependent Hartree Fock dynamics in a single mode and in the presence of a thermal bath. We apply the method in the small oscillation regime to isothermal and isentropic breathing mode oscillations. We employ realistic microscopic effective Hamiltonians with phenomenological extensions to large model spaces and obtain thermodynamic coefficients for ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$. Coefficients for the incompressibilities, specific heats, and thermal expansion are obtained along with breathing mode frequencies as a function of temperature. A significant effect due to the nonlocality of the interaction on the collective mass is obtained. The interaction produces a remarkably low value for the incompressibility while providing an adequate description of the breathing mode energy.

• Received 31 August 1987

DOI:https://doi.org/10.1103/PhysRevC.37.1267