dorsal/arxiv
View SchemaSemi-groups and time operators for quantum unstable systems
| Authors | Maurice Courbage |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410082 |
| URL | https://arxiv.org/abs/quant-ph/0410082 |
Abstract
We use spectral projections of time operator in the Liouville space for simple quantum scattering systems in order to define a space of unstable particle states evolving under a contractive semi-group. This space includes purely exponentially decaying states that correspond to complex eigenvalues of this semi-group. The construction provides a probabilistic interpretation of the resonant states characterized in terms of the Hardy class.
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"abstract": "We use spectral projections of time operator in the Liouville space for\nsimple quantum scattering systems in order to define a space of unstable\nparticle states evolving under a contractive semi-group. This space includes\npurely exponentially decaying states that correspond to complex eigenvalues of\nthis semi-group. The construction provides a probabilistic interpretation of\nthe resonant states characterized in terms of the Hardy class.",
"arxiv_id": "quant-ph/0410082",
"authors": [
"Maurice Courbage"
],
"categories": [
"quant-ph"
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"title": "Semi-groups and time operators for quantum unstable systems",
"url": "https://arxiv.org/abs/quant-ph/0410082"
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