He then showed how this can be applied to evolve an initial spacelike hyperslice according to the vacuum field equation.
12.
In quantum theory however there is always an " external " field, namely the source-free or vacuum field.
13.
Vacuum Rabi oscillations have also been described as manifestation of the AC Stark effect from atomic coupling to the vacuum field.
14.
The main field is raised further, compressing and heating the plasma and providing a vacuum field between the plasma and the wall.
15.
It can be shown that the vacuum field is essential for the preservation of the commutators and the formal consistency of the theory.
16.
It gave the nonintuitive prediction that the rate of spontaneous emission could be controlled depending on the boundary conditions of the surrounding vacuum field.
17.
With the vacuum field included, however, the commutator is at all times, as required by unitarity, and as we have just shown.
18.
When the field energy is calculated a contribution from from the vacuum field is always present ( i . e . the zero-point field energy ).
19.
Let us assume that g _ { \ alpha \ beta } is a solution of the vacuum field equations, in which case the Ricci scalar R vanishes.
20.
For example, Sir Arthur Stanley Eddington claimed that the cosmological constant version of the vacuum field equation expressed the " variational principle produced the field equation with a cosmological term.
