Report
Spectral properties of the quantum Mixmaster universe
| العنوان: | Spectral properties of the quantum Mixmaster universe |
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| المؤلفون: | Bergeron, Hervé, Czuchry, Ewa, Gazeau, Jean-Pierre, Małkiewicz, Przemysław |
| المصدر: | Phys. Rev. D 96, 043521 (2017) |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics General Relativity and Quantum Cosmology Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, Mathematical Physics, Quantum Physics |
| الوصف: | We study the spectral properties of the anisotropic part of Hamiltonian entering the quantum dynamics of the Mixmaster universe. We derive the explicit asymptotic expressions for the energy spectrum in the limit of large and small volumes of the universe. Then we study the threshold condition between both regimes. Finally we prove that the spectrum is purely discrete for any volume of the universe. Our results validate and improve the known approximations to the anisotropy potential. They should be useful for any approach to the quantization of the Mixmaster universe. Comment: Version accepted by Phys. Rev. D |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.96.043521 |
| URL الوصول: | http://arxiv.org/abs/1703.08462 |
| رقم الانضمام: | edsarx.1703.08462 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.96.043521 |
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