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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Equation of Motion

Pp. 151-158 (8)

Peter Enders

Abstract

Having got the quantum-mechanical equation of change of stationary states, it is rather straightforward to derive the quantum-mechanical equation of motion. As anticipated in the foregoing chapter, this is the time-dependent Schrödinger equation. Moreover, Huygens’ principle is shown to apply to QM, as obtained by Feynman in another way.

Keywords:

Chapman-Kolmogorov equation, Feynman, Huygens’ principle, quantum-mechanical equation of motion, Time-dependent wave function, Timedependent Schrödinger equation.

Affiliation:

Taraz State Pedagogical University, Kazakhstan.