Classical Mechanics and Quantum Mechanics:  An Historic-Axiomatic Approach

Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach

This unique textbook presents a novel, axiomatic pedagogical path from classical to quantum physics. Readers are introduced to the description of classical mechanics, which rests on Euler’s and ...
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Conservation Laws

Pp. 159-165 (7)

Peter Enders

Abstract

The conservation law for the weight (probability) is sketched along Schrödinger’s (1926) standard way, where ΨΨ represents the weight (probability) density. In contrast, there are various expressions for the energy density. I pose the following requirements: (i), The change of total energy should be proportional to ∂Vext/ ∂t, as within CM (see principle CS1 in Subsection 2.5.4); (ii) the current (flux) density should exhibit the hydrodynamic form ‘density times velocity’

Keywords:

Conservation of energy, Conservation of probability, Conservation of weight, Eeight flux density, Energy density, Energy flux density, Equation of continuity, Schrödinger, Weight density.

Affiliation:

Taraz State Pedagogical University, Kazakhstan.