Single-Particle Electrodynamics - Assassination Science

A.3.9
Electric charge
A general electric charge is always denoted by the symbol
q
(A.2)
throughout this thesis.
The symbol q is also used in its common usage as a general Hamiltonian or
Lagrangian coördinate degree of freedom; there is no ambiguity in practice.
The charge on the positron is denoted by the symbol e. The charge on the
electron is consequently −e. The symbol e is also used for other purposes;
no confusion arises in practice.
A.3.10
Derivatives
Throughout this thesis, the n-th order total derivative operator with respect
to a quantity q,
is replaced by the notation
d n
dq n ,
d n q .
(A.3)
(A.4)
The notation (A.3) is decommissioned.
derivative operator,
is replaced by the notation
∂ n
∂q n ,
∂ n q .
Likewise, the n-th order partial
(A.5)
(A.6)
The notation (A.5) is decommissioned.
If the quantity being differentiated with respect to is the spacetime position
x µ or x µ , then it is deemed that the subscript µ or superscript µ may be
used instead of x µ or x µ for the partial derivative:
∂ x µ ←→ ∂ µ ,
∂ xµ ←→ ∂ µ .
(A.7)
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