angular momentum tensor造句
例句與造句
- The angular momentum tensor is the generator of boosts and rotations for the Lorentz group.
- Integrating the angular momentum density over a 3d spacetime hypersurface yields the angular momentum tensor about,
- For a particle of rest mass, the " total " angular momentum tensor is:
- The boost generators and rotation generators can be combined into one generator for Lorentz transformations; the antisymmetric angular momentum tensor, with components
- This tensor is additive : the total angular momentum of a system is the sum of the angular momentum tensors for each constituent of the system.
- It's difficult to find angular momentum tensor in a sentence. 用angular momentum tensor造句挺難的
- The torque acting on a point-like particle is defined as the derivative of the angular momentum tensor given above with respect to proper time:
- So, for an assembly of discrete particles one sums the angular momentum tensors over the particles, or integrates the density of angular momentum over the extent of a continuous mass distribution.
- In general relativity, rotational motion is described by the relativistic angular momentum tensor, including the spin tensor, which enter the equations of motion under covariant derivatives with respect to proper time.
- In other words, one can Lorentz-transform the four position and four momentum separately, and then antisymmetrize those newly found components to obtain the angular momentum tensor in the new frame.
- The angular momentum tensor "'M "'is indeed a tensor, the components change according to a Lorentz transformation matrix ?, as illustrated in the usual way by tensor index notation
- However, the six component angular momentum tensor is sometimes called a bivector because in the 3D viewpoint it is two vectors ( one of these, the conventional angular momentum, being an axial vector ).
- In relativistic quantum mechanics, elementary particles have " spin " and this is an additional contribution to the " orbital " angular momentum operator, yielding the " total " angular momentum tensor operator.
- In RQM, the position and momentum operators are inserted directly where they appear in the orbital relativistic angular momentum tensor defined from the four-dimensional position and momentum of the particle, equivalently a bivector in the exterior algebra formalism:
- For rotating mass energy distributions ( such as gyroscopes, planets, stars, and black holes ) instead of point-like particles, the "'angular momentum tensor "'is expressed in terms of the stress energy tensor of the rotating object.
- Although Cartesian tensors do not occur in the theory of relativity; the tensor form of orbital angular momentum "'J "'enters the spacelike part of the relativistic angular momentum tensor, and the above tensor form of the magnetic field "'B "'enters the spacelike part of the electromagnetic tensor.