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Module 6 : Microscopic theory of superconductivity

Lecture 10 : The Number of Particles and the Phase as Canonically Conjugate Variables

The Number of Particles and the Phase as Canonically Conjugate Variables
We first look at the root mean square (rms) fluctuation, $<\delta N^{2}>$ , in the number of particles in the BCS condensate before proceeding to show that the number of particles operator and the phase $\phi$ are canonically conjugate dynamical variables. The rms in the BCS state is found to be
	(1)
	(2)
Since
	(3)
	(4)
	(5)