Quantum Spatial Probability and Time Intervals in the High Energy Limit Part II

   In Part I of this note we argued that the quantum bound state expectation value < -1/(2m) d/dx d/dx> = Integral dx WW (-1/2m d/dx dW/dx /W) in the high energy limit is equivalent to the first part of the classical action: Integral dt .5mvv As a result, we identified WW=spatial density (bound state) with 1/v(x) in the high energy limit. 1/v(x) is used in the literature (1) as probability classical(x) when calculating Shannon’s entropy classically (as a bound for high energy quantum entropy). In this note, we wish to examine further some ideas associated with this link to the classical action.