Tomographic representation of minisuperspace quantum cosmology and noether symmetries

被引：16
作者：
Capozziello, S. [1 ,2 ]
Man'ko, V. I. [1 ,2 ,3 ]
Marmo, G. [1 ,2 ]
Stornaiolo, C. [1 ,2 ]
机构：
[1] Univ Naples Federico II, Dipartimento Sci Fis, Naples, Italy
[2] Compl Univ Monte S Angelo, Ist Nazl Fis Nucl, Sez Napoli, I-80126 Naples, Italy
[3] PN Lebedev Phys Inst, Moscow 117924, Russia
来源：
GENERAL RELATIVITY AND GRAVITATION | 2008年 / 40卷 / 12期
关键词：
Quantum cosmology; Tomograms; Alternative theories of gravity;
D O I：
10.1007/s10714-008-0643-3
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The probability representation, in which cosmological quantum states are described by a standard positive probability distribution, is constructed for minisuperspace models selected by Noether symmetries. In such a case, the tomographic probability distribution provides the classical evolution for the models and can be considered an approach to select "observable" universes. Some specific examples, derived from Extended Theories of Gravity, are worked out. We discuss also how to connect tomograms, symmetries and cosmological parameters.
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页码：2627 / 2647
页数：21
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