Unification of Energy Concepts in Generalized Phase Space Theories.
| Autor: | Jiang L; Alumnus, Southern University of Science and Technology (SUSTech), Shenzhen 518055, China., Terno DR; Department of Physics and Astronomy, Macquarie University, Sydney, New South Wales 2109, Australia., Dahlsten O; Department of Physics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong SAR, China.; Shenzhen Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China.; Institute of Nanoscience and Applications, Southern University of Science and Technology, Shenzhen 518055, China. |
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| Jazyk: | angličtina |
| Zdroj: | Physical review letters [Phys Rev Lett] 2024 Mar 22; Vol. 132 (12), pp. 120201. |
| DOI: | 10.1103/PhysRevLett.132.120201 |
| Abstrakt: | We consider how to describe Hamiltonian mechanics in generalized probabilistic theories with the states represented as quasiprobability distributions. We give general operational definitions of energy-related concepts. We define generalized energy eigenstates as the purest stationary states. Planck's constant plays two different roles in the framework: the phase space volume taken up by a pure state and a dynamical factor. The Hamiltonian is a linear combination of generalized energy eigenstates. This allows for a generalized Liouville time-evolution equation that applies to quantum and classical Hamiltonian mechanics and more. The approach enables a unification of quantum and classical energy concepts and a route to discussing energy in a wider set of theories. |
| Databáze: | MEDLINE |
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