Thus it is necessary to check that relativistic invariance is not lost.
2.
Carrying out the block matrix multiplications obtains general conditions on to ensure relativistic invariance.
3.
The Lagrangian formulation makes the relativistic invariance apparent.
4.
In 1906 he wrote an early work which used the four-dimensional formalism to account for relativistic invariance under Lorentz transformations.
5.
One drawback to canonical quantization for a relativistic field is that by relying on the Hamiltonian to determine time dependence, relativistic invariance is no longer manifest.
6.
Objects which are invariant under this group are then said to possess "'Poincar?invariance "'or "'relativistic invariance " '.
7.
To demonstrate the relativistic invariance of the equation, it is advantageous to cast it into a form in which the space and time derivatives appear on an equal footing.
8.
Now we see the great advantage of the first-order equation over the one Schr�dinger had tried this is the conserved current density required by relativistic invariance, only now its 4th component is " positive definite " and thus suitable for the role of a probability density:
9.
In electromagnetism, and because of relativistic invariance, it is useful to have the electric field and the magnetic field in the same unit ( cgs ( Gaussian ) system of units, where energy is given in units of erg, mass in grams ( g ), and momentum in g�cm�s " 1.
10.
The reason why a theory with zero Hamiltonian can be sensibly formulated resides in the Feynman path integral approach to QFT . This incorporates relativistic invariance ( which caters for general ( " d " + 1 )-dimensional " spacetimes " ) and the theory is formally defined by writing down a suitable Lagrangian-a functional of the classical fields of the theory.
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