Standardization in Mechanics

  1. Standardization serves to
    1. represent the most general case,
    2. reveal the simplicity of the essence,
    3. unify the various versions that have different appearances.

        For the definition of density operator, [Pat, p.114, (7)] features the ensemble average; [Lan3, pp.38-41, §14] reveals its origin by considering a subsystem [Lan3, p.38, l.- 5]; [Coh, pp.300-301, Complement EIII, 4.a] puts it in the standard form. Pathria’s version and Landau’s version are special cases of Cohen-Tannoudji’s version [Coh, p.303, Comment (i)].

  2. [Mer2, p.31, l.-9-l.-7]
        If a position wave function is normalized, its Fourier transform will also be normalized [Ru2, p.200, Theorem 9.13(b)]. Furthermore, the normalization is preserved at all times.

  3. (Estimation of self-inductance for simple circuits) Once a standard model [Jack, p.217, Fig. 5.21] is established, the nonstandard cases can be derived from the model easily [Jack, p.218, l.7-l.15].