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Field quantization by means of a single harmonic oscillator

Marek Czachor
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Abstract

A new scheme of field quantization is proposed. Instead of associating with different frequencies different oscillators we begin with a single oscillator that can exist in a superposition of different frequencies. The idea is applied to the electromagnetic radiation field. Using the standard Dirac-type mode-quantization of the electromagnetic field we obtain several standard properties such as coherent states or spontaneous and stimulated emission. As opposed to the standard approach the vacuum energy is finite and does not have to be removed by any ad hoc procedure.

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Marek Czachor. 1999-12-22. Field quantization by means of a single harmonic oscillator. https://arxiv.org/abs/quant-ph/9912102

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