Show that G, = - [r' AP is a constant of the motion if the Hamiltonian...

 

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Show that G, = - [r' AP is a constant of the motion if the Hamiltonian density is not an explicit function of position. The quantity G, can be identified as the total linear momentum of the field along the a' direction. The similarity of this theorem with the usual conservation theorem for linear momentum of discrete systems should be obvious. Show that G, = - [r' AP is a constant of the motion if the Hamiltonian density is not an explicit function of position. The quantity G, can be identified as the total linear momentum of the field along the a' direction. The similarity of this theorem with the usual conservation theorem for linear momentum of discrete systems should be obvious.

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L Iw L angular momentum kg I moment of intertia kgm w angular velocity rads Iw ... View the full answer