On Defining the Hamiltonian Beyond Quantum Theory |
| |
| Authors: | Dominic Branford author-information" >,Oscar C. O. Dahlsten,Andrew J. P. Garner author-information" > |
| |
| Affiliation: | 1.Department of Physics,University of Warwick,Coventry,UK;2.Atomic and Laser Physics, Clarendon Laboratory,University of Oxford,Oxford,UK;3.Southern University of Science and Technology (SUSTech),Shenzhen,China;4.London Institute for Mathematical Sciences,London,UK;5.Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences,Vienna,Austria;6.Centre for Quantum Technologies,National University of Singapore,Singapore,Singapore |
| |
| Abstract: | Energy is a crucial concept within classical and quantum physics. An essential tool to quantify energy is the Hamiltonian. Here, we consider how to define a Hamiltonian in general probabilistic theories—a framework in which quantum theory is a special case. We list desiderata which the definition should meet. For 3-dimensional systems, we provide a fully-defined recipe which satisfies these desiderata. We discuss the higher dimensional case where some freedom of choice is left remaining. We apply the definition to example toy theories, and discuss how the quantum notion of time evolution as a phase between energy eigenstates generalises to other theories. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
