On Defining the Hamiltonian Beyond Quantum Theory

Citations of this article
Mendeley users who have this article in their library.
Get full text

You May have access to this PDF.


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.




Branford, D., Dahlsten, O. C. O., & Garner, A. J. P. (2018). On Defining the Hamiltonian Beyond Quantum Theory. Foundations of Physics, 48(8), 982–1006. https://doi.org/10.1007/s10701-018-0205-9

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free