A Time Dependent Multi-Determinant approach to nuclear dynamics

Abstract

We study a multi-determinant approach to the time evolution of the nuclear wave functions (TDMD). We employ the Dirac variational principle and use as anzatz for the nuclear wave-function a linear combination of Slater determinants and derive the equations of motion. We demonstrate explicitly that the norm of the wave function and the energy are conserved during the time evolution. This approach is a direct generalization of the time dependent Hartree-Fock method. We apply this approach to a case study of ${}^{6}Li$ using the N3LO interaction renormalized to 4 major harmonic oscillator shells. We solve the TDMD equations of motion using Krylov subspace methods of Lanczos type. We discuss as an application the isoscalar monopole strength function.

38 pages, additional calculations included. Accepted for publication, Int. J. of Mod. Phys. E

References in corpus (5)

• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Ab initio quantum dynamics using coupled-cluster
• Time-dependent coupled-cluster method for atomic nuclei
• Continuum time-dependent Hartree-Fock for giant resonances in spherical nuclei

Cited by in corpus (2)

• Time-dependent density functional theory for X-ray near-edge spectroscopy
• Extention of the Time-Dependent Multi-Determinant approach to propagators