This operation is used to couple neighboring particle spins in the DzyaloshinskiiÂ–Moriya antisymmetric exchange Hamiltonian.
This operation is used to couple neighboring particle spins in the DzyaloshinskiiÂ–Moriya antisymmetric exchange Hamiltonian. Its kth component can be written as the LeviÂ–Civita ("LAYÂ­vee CHEEÂ­veeÂ­ta") symbol of ijk times xÂ­subÂ­i times yÂ­subÂ­j. This operation is nested within itself in the expression for centrifugal force in a rotating reference frame. The result of this operation does not transform contravariantly under parity inversion, making it a (*) pseudovector. This operation is applied to the magnetic moment and the externalmagnetic field to give the torque on a dipole. This operation applied to a particle's velocity and the magnetic field gives a component of the Lorentz force law, whose direction you can find using the rightÂ­hand rule. For 10 points, name this operation that takes two vectors and returns a vector orthogonal to both of them.
This operation is used to couple neighboring particle spins in the DzyaloshinskiiÂ–Moriya antisymmetric exchange Hamiltonian.
cross product