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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Quantization of the String

Pp. 256-260 (5)

Peter Enders

Abstract

As an intermediate step, this chapter describes the quantization of the mechanical string. In order not to deal with the derivative in the potential energy density, a spatial Fourier transform is performed. Then, the procedure is quite analogously to the point-mechanical case, because the length of the string provides an extrinsic length parameter. Nevertheless, energy quanta, hω, emerge.

Keywords:

Energy quantum, Extrinsic length parameter, Quantization, String.

Affiliation:

Taraz State Pedagogical University, Kazakhstan.