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)


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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