Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach

Quantization of the String

Author(s): Peter Enders

Pp: 256-260 (5)

DOI: 10.2174/9781681084497119010025

* (Excluding Mailing and Handling)

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.

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