Sentence examples for by using the commutation from inspiring English sources
The eigen values of the total angular momentum operator can be obtained by using the commutation relations of the components of the angular momentum with each other and by using the raising the lowering operators that is made by the combination and subtraction of the components of the angular momentum.
Moreover, related families of TPMs are also deducted using the commutation of factors in any products of spatial translations and rotations around an axis.
Using the commutation relations between E i j and U i j, one can convince oneself that the infinitesimal generator of a gauge transformation at site m is given by (4) G m = E i m + E k m − E m j − E m ℓ.
Mathematically, this can be achieved by using the standard Bose-Hubbard model (2) while additionally imposing fermionic anti-commutation relations to the creation/annihilation operators for bosons on the same site,.
This proof uses the commutation method and shares structure with the proofs in [2, 5].
Also, for the last equality, we have used the commutation relations for the processes dw given in (3).
A 22.9 kV class hybrid fault current limiter (FCL) developed by Korea Electric Power Corporation and LS Industrial Systems in 2006 operates using the line commutation mechanism and begins to limit the fault current after the first half-cycle.
It is an important development direction of using the HVDC Flexible in the overhead line transmission systems to solve the commutation failures caused by the system faults at the same time of saving the construction costs.
Spikes or vibration effect and eddy currents due to the commutation of strong diffusion gradient pulses, were corrected using the Quality Check pipeline of the Connectomist toolbox used in this study (Duclap et al., 2012).
Using the interaction picture is advantageous because the equations of motion as well as, under certain conditions, the commutation relations are the same for interacting fields as for free fields.
Here, the final state of the evolving linear system is mapped to the initial state of the next linear system selected during the switching using state commutation functions.
