论文标题
由于非偏好的引力源引起的谐波坐标的重力电磁场的超导体meissner效应
Superconductor Meissner effects for gravito-electromagnetic fields in harmonic coordinates due to non-relativistic gravitational sources
论文作者
论文摘要
众所周知，用于相对论的带电颗粒的协变量可以导致消失的哈密顿人。另外，可以表明，使用“空间+时间”拉格朗日，导致了一种新的规范动量和最小的耦合规则，该规则描述了电磁和重力场与相对论性带电粒子的耦合。各种作者获得的汉密尔顿人之间的差异得到了解决。规范的动量导致了伦敦方程式和伦敦仪表的一种新形式。使用谐波坐标中的线性化爱因斯坦场方程和非相关主义的理想流体，从而导致重力电磁场方程。这些用于获得磁性和重力磁场的新渗透深度。一个关键结果是，仅当还存在磁场时，将重力磁场从超导体中排出。超导体体体中的通量量子以及超导环中的量化超电流。最后，在有带电的旋转质量缸的存在下，超导环的情况被用作应用所开发的形式主义的一个例子。
It is well known that a covariant Lagrangian for relativistic charged particles can lead to a vanishing Hamiltonian. Alternatively, it is shown that using a "space+time" Lagrangian leads to a new canonical momentum and minimal coupling rule that describes the coupling of both electromagnetic and gravitational fields to a relativistic charged particle. Discrepancies between Hamiltonians obtained by various authors are resolved. The canonical momentum leads to a new form of the London equations and London gauge. Using the linearized Einstein field equation in harmonic coordinates, and a non-relativistic ideal fluid, leads to gravito-electromagnetic field equations. These are used to obtain new penetration depths for both the magnetic and gravito-magnetic fields. A key result is that the gravito-magnetic field is expelled from a superconductor only when a magnetic field is also present. The flux quantum in the body of a superconductor, and the quantized supercurrent in a superconducting ring are derived. Lastly, the case of a superconducting ring in the presence of a charged rotating mass cylinder is used as an example of applying the formalism developed.
