dorsal/arxiv
View SchemaWavelets as basis functions in canonical quantization
| Authors | M. Havukainen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006083 |
| URL | https://arxiv.org/abs/quant-ph/0006083 |
Abstract
Canonical quantization of electromagnetic field is traditionally done using plane waves. It is possible to formulate the quantization using other complete set of basis functions. Wavelets are a special kind of functions which are localized in real as well as in Fourier space. In this paper we show how wavelets can be used as basis functions in canonical quantization. A countable set of mode functions are obtained. The general formalism of the change of basis is the same for all wavelets which satisfy a multiresolution analysis.
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"abstract": "Canonical quantization of electromagnetic field is traditionally done using\nplane waves. It is possible to formulate the quantization using other complete\nset of basis functions. Wavelets are a special kind of functions which are\nlocalized in real as well as in Fourier space. In this paper we show how\nwavelets can be used as basis functions in canonical quantization. A countable\nset of mode functions are obtained. The general formalism of the change of\nbasis is the same for all wavelets which satisfy a multiresolution analysis.",
"arxiv_id": "quant-ph/0006083",
"authors": [
"M. Havukainen"
],
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"title": "Wavelets as basis functions in canonical quantization",
"url": "https://arxiv.org/abs/quant-ph/0006083"
},
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