Quantum phase space trajectories with application to quantum cosmology

التفاصيل البيبلوغرافية
العنوان: Quantum phase space trajectories with application to quantum cosmology
المؤلفون: Małkiewicz, Przemysław, Miroszewski, Artur, Bergeron, Hervé
المصدر: Phys. Rev. D 98, 026030 (2018)
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 develop an approach to quantum dynamics based on quantum phase space trajectories. The latter are built from a unitary irreducible representation of the symmetry group of the respective classical phase space. We use a quantum action functional to derive the basic equations. In principle, our formulation is equivalent to the Hilbert space formulation. However, the former allows for consistent truncations to reduced phase spaces in which approximate quantum dynamics can be derived. We believe that our approach can be very useful in the domain of quantum cosmology and therefore, we use the cosmological phase space example to establish the basic equations of this formalism.
Comment: 11 pages, 4 figures, the new version contains improved discussions
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.98.026030
URL الوصول: http://arxiv.org/abs/1712.04813
رقم الانضمام: edsarx.1712.04813
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.98.026030