- #1
goran d
- 32
- 0
When deriving the Maxwell Stress tensor, the Lorentz formula is converted from point particle:
F=qE+qv x B
Into current and charge density:
F=ρ E + j x B
However an argument can be made that we can't "fieldify" both q and E at one step, and thus, a "coercion" of the field to a value is necessary.
F=ρ VAL (E) + j x VAL (B)
Where VAL(x) is the "coercion" function, which can't be differentiated with respect to space coordinates (the differentiation would give zero).
Under these conditions, the Maxwell Stress tensor is no longer conserving impulse.
F=qE+qv x B
Into current and charge density:
F=ρ E + j x B
However an argument can be made that we can't "fieldify" both q and E at one step, and thus, a "coercion" of the field to a value is necessary.
F=ρ VAL (E) + j x VAL (B)
Where VAL(x) is the "coercion" function, which can't be differentiated with respect to space coordinates (the differentiation would give zero).
Under these conditions, the Maxwell Stress tensor is no longer conserving impulse.