dorsal/arxiv
View SchemaWavelets and Information-preserving Transformations
| Authors | Y. S. Kim |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610018 |
| URL | https://arxiv.org/abs/quant-ph/9610018 |
Abstract
The underlying mathematics of the wavelet formalism is a representation of the inhomogeneous Lorentz group or the affine group. Within the framework of wavelets, it is possible to define the ``window'' which allows us to introduce a Lorentz-covariant cut-off procedure. The window plays the central role in tackling the problem of photon localization. It is possible to make a transition from light waves to photons through the window. On the other hand, the windowed wave function loses analyticity. This loss of analyticity can be measured in terms of entropy difference. It is shown that this entropy difference can be defined in a Lorentz-invariant manner within the framework of the wavelet formalism.
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"abstract": "The underlying mathematics of the wavelet formalism is a representation of\nthe inhomogeneous Lorentz group or the affine group. Within the framework of\nwavelets, it is possible to define the ``window\u0027\u0027 which allows us to introduce\na Lorentz-covariant cut-off procedure. The window plays the central role in\ntackling the problem of photon localization. It is possible to make a\ntransition from light waves to photons through the window. On the other hand,\nthe windowed wave function loses analyticity. This loss of analyticity can be\nmeasured in terms of entropy difference. It is shown that this entropy\ndifference can be defined in a Lorentz-invariant manner within the framework of\nthe wavelet formalism.",
"arxiv_id": "quant-ph/9610018",
"authors": [
"Y. S. Kim"
],
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"quant-ph",
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"title": "Wavelets and Information-preserving Transformations",
"url": "https://arxiv.org/abs/quant-ph/9610018"
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