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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From Chains to Strings: Limit Transition to the Continuum

Pp. 251-255 (5)

Peter Enders

Abstract

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.

Affiliation:

Taraz State Pedagogical University, Kazakhstan.