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Tomographic entropy and cosmology |
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| Authors: | V I Man’ko G Marmo C Stornaiolo |
| Institution: | (1) Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo Edificio N’, via Cinthia, 45-80126 Napoli, Italy;(2) Dipartimento di Scienze Fisiche, Università “Federico II” di Napoli, Complesso Universitario di Monte S. Angelo Edificio N’, via Cinthia, 45-80126 Napoli, Italy |
| Abstract: | 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. |
| Keywords: | Quantum cosmology Symplectic tomography |
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