vacuum field वाक्य
उदाहरण वाक्य
मोबाइल
- The second boundary condition is imposed so that the metric at the boundary is continuous with the unique static spherically symmetric solution to the vacuum field equations, the Schwarzschild metric:
- They further suggested that, as a particle translates, this vibrational motion interacts selectively with waves in the ambient vacuum field, a resonant interaction that amplifies an electromagnetic pilot wave.
- To obtain the vacuum field equations, we must vary the gravitational term in the Lagrangian with respect to the metric g _ { a b }; this gives the second field equation above.
- However, when we do this and solve the Heisenberg equation for a field operator, we must include the vacuum field, which is the homogeneous part of the solution for the field operator.
- Photon-photon interaction can occur only through interaction with the vacuum state of some other field, for example through the Dirac electron-positron vacuum field; this is associated with the concept of vacuum polarization.
- This has the result of changing the vacuum field equation from the Laplace equation to the wave equation, which means that any " news " concerning redistribution of matter in one location is transmitted at the speed of light to other locations.
- The zero-point energy cannot be eliminated by dropping its energy from the Hamiltonian : When we do this and solve the Heisenberg equation for a field operator, we must include the vacuum field, which is the homogeneous part of the solution for the field operator.
- The spectral density of the vacuum field is fixed by the form of the radiation reaction field, or vice versa : because the radiation reaction field varies with the third derivative of, the spectral energy density of the vacuum field must be proportional to the third power of in order for to hold.
- The spectral density of the vacuum field is fixed by the form of the radiation reaction field, or vice versa : because the radiation reaction field varies with the third derivative of, the spectral energy density of the vacuum field must be proportional to the third power of in order for to hold.
- Vacuum field perturbations are simulated by fluid field perturbations and the aerodynamic resistance of viscous drag exerted on the interior of the vehicle is compared to the Lorentz force exerted by the zero-point field ( a Casimir-like force is exerted on the exterior by unbalanced zero-point radiation pressures ).
- 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.
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