A Suggested Alternate Approach to the Normalization of Y G.R.Dixon, 11/25/03 Fig. 1 depicts one of N infinite square potential energy (U) wells, where N is arbitrarily large. Trapped in each well is a single particle with mass m and speed v. Figure 1 One of N Identical Square Wells According to quantum theory a wave function, Y(x), is associated with this ensemble of wells and particles. Only integral half wavelengths can be accommodated: (1) DeBroglie suggested a connection between l and particle momentum magnitude: . (2) Thus only discrete momenta (and kinetic energies) can be accommodated. Born interpreted the square of the wave function’s magnitude (multiplied by dx) to be the probability of finding a particle in a given interval dx: . (3) Fig. 2a shows an approximation to the lowest (ground state) P(x), and Fig. 2b shows an approximation to the first excited state’s P(x). Figure 2a P(x), Ground State Figure 2b P(x), First Excited State But what is meant operationally by P(x)dx? Let us assume that the span {–L/2