Implementation and validation of the relativistic transient absorption theory within the dipole approximation

• A relativistic transient absorption theory is derived, implemented and validated within the dipole approximation based on the time-dependent Dirac equation. In the non-relativistic limit, it is found that the absorption agrees with the well established non-relativistic theory based on the time-dependent Schrodringer equation. Time-dependent simulations have been performed using the Dirac equation and the Schrodinger equation for the hydrogen atom in two different attosecond transient absorption scenarios. These simulations validate the present relativistic theory. The presented work can be seen as a first step in the development of a more general relativistic attosecond transient absorption spectroscopy method for studying heavy atoms, but it also suggests the possibility of studying relativistic effects, such as Zitterbewegung, in the time domain.

Ämnesord

NATURVETENSKAP  -- Fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences (hsv//eng)

NATURVETENSKAP  -- Fysik -- Atom- och molekylfysik och optik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Atom and Molecular Physics and Optics (hsv//eng)

Nyckelord

Attosecond transient absorption

time dependent Dirac equation

relativistic velocity

gauge transformation

Zitterbewegung

power in quantum mechanics

Attosecond transient absorption

Gauge transformation

Power in quantum mechanics

Relativistic velocity

Time dependent Dirac equation

Zitterbewegung

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