Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach

From Chains to Strings: Limit Transition to the Continuum

Author(s): Peter Enders

Pp: 251-255 (5)

DOI: 10.2174/9781681084497119010024

* (Excluding Mailing and Handling)


The next step is the transition to the continuum being dealt with in this chapter. The Newtonian equations of motion become d’Alembert’s wave equation, the energies and thus the Hamiltonian become functionals. The question, which field takes over the role of the free body, is examined by means of standing waves.

Keywords: d’Alembert’s wave equation, Chain, Continuum, Energy density, Field, Free body, Hamiltonian, Hamiltonian equations of motion, Newtonian equations of motion, String.

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