Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach

Equation of Motion

Author(s): Peter Enders

Pp: 151-158 (8)

DOI: 10.2174/9781681084497119010014

* (Excluding Mailing and Handling)

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.

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