vacuum field उदाहरण वाक्य
उदाहरण वाक्य
- For this reason is often referred to as the " vacuum field ", although it is of course a Heisenberg-picture operator acting on whatever state of the field happens to be appropriate at 0 } } . is the source field, the field generated by the dipole and acting on the dipole.
- In the current example the coupling of a dipole oscillator to the electromagnetic field has a dissipative component, in the form of the zero-point ( vacuum ) field; given the existence of radiation reaction, the vacuum field must also exist in order to preserve the canonical commutation rule and all it entails.
- The fact that the canonical commutation relation for a harmonic oscillator coupled to the vacuum field is preserved implies that the zero-point energy of the oscillator is preserved . it is easy to show that after a few damping times the zero-point motion of the oscillator is in fact sustained by the driving zero-point field.
- In fact we can show that the vacuum field is essential for the preservation of the commutators and the formal consistent of QED . When we calculate the field energy we obtain not only a contribution from particles and forces that may be present but also a contribution from the vacuum field itself i . e . the zero-point field energy.
- In fact we can show that the vacuum field is essential for the preservation of the commutators and the formal consistent of QED . When we calculate the field energy we obtain not only a contribution from particles and forces that may be present but also a contribution from the vacuum field itself i . e . the zero-point field energy.
- Variation of the first term of the action with respect to the tetrad e ^ { \ alpha } _ { \ I } gives the ( mixed index ) Einstein tensor and variation of the second term with respect to the tetrad gives a quantity that vanishes by symmetries of the Riemann tensor ( specifically the first Bianchi identity ), together these imply Einstein's vacuum field equations hold.
- Nethertheless as Jaffe himself notes in his paper " no one has shown that source theory or another S-matrix based approach can provide a complete description of QED to all orders . " Furthermore, Milonni has shown the necessity of the vacuum field for the formal consistency of QED . In QCD, color confinement has led physicists to abandon the source theory or S-matrix based approach for the strong interactions.