Tomographic entropy and cosmology

被引：11
作者：
Man'ko, V. I. [1 ,2 ]
Marmo, G. [1 ,2 ]
Stornaiolo, C. [1 ,2 ]
机构：
[1] Complesso Univ Monte S Angelo, Ist Nazl Fis Nucl, Sez Napoli, I-80126 Naples, Italy
[2] Univ Naples Federico II, Dipartimento Sci Fisiche, Complesso Univ Monte S Angelo, I-80126 Naples, Italy
来源：
GENERAL RELATIVITY AND GRAVITATION | 2008年 / 40卷 / 07期
关键词：
quantum cosmology; symplectic tomography;
D O I：
10.1007/s10714-007-0571-7
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The probability representation of quantum mechanics including propagators and tomograms of quantum states of the universe and its application to quantum gravity and cosmology are reviewed. The minisuperspaces modeled by oscillator, free pointlike particle and repulsive oscillator are considered. The notion of tomographic entropy and its properties are used to find some inequalities for the tomographic probability determining the quantum state of the universe. The sense of the inequality as a lower bound for the entropy is clarified.
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页码：1449 / 1465
页数：17
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