This graduate textbook introduces the com-putational techniques to study ultra-fast quantum dynamics of matter exposed to strong laser fields. Coverage includes methods to propagate wavefunctions according to the time dependent Schrödinger, Klein-Gordon or Dirac equation, the calculation of typical observables, time-dependent density functional theory, multi configurational time-dependent Hartree-Fock, time-dependent configuration interaction singles, the strong-field approximation, and the microscopic particle-in-cell approach.

Contents

How to propagate a wavefunction?

Calculation of typical strong-field observables

Time-dependent relativistic wave equations: Numerics of the Dirac and the

Klein-Gordon equation

Time-dependent density functional theory

The multiconfiguration time-dependent Hartree-Fock method

Time-dependent configuration interaction singles

Strong-field approximation and quantum orbits

Microscopic particle-in-cell approach