Is there a way I can redefine the || operator such that a||b will be 1/(1/a + 1/b)?

Is it possible to define it infix as above and prefix such that ||[a,b,c] is 1/(1/a+1/b+1/c)?

I'm working with circuit impedances and it's a much more natural way of describing the circuit to use + for series and something simple like || for parallel.