Generalising unitary time evolution
Kitto, Kirsty, Bruza, Peter D., & Sitbon, Laurianne (2009) Generalising unitary time evolution. In Bruza, Peter D., Sofge, Donald, Lawless, William, van Rijsbergen, Keith, & Klusch, Matthias (Eds.) Proceedings of Quantum Interaction : Third International Symposium (QI 2009), Springer, German Research Center for Artificial Intelligence (DFKI), Saarbruecken, pp. 17-28.
In this third Quantum Interaction (QI) meeting it is time to examine our failures. One of the weakest elements of QI as a field, arises in its continuing lack of models displaying proper evolutionary dynamics. This paper presents an overview of the modern generalised approach to the derivation of time evolution equations in physics, showing how the notion of symmetry is essential to the extraction of operators in quantum theory. The form that symmetry might take in non-physical models is explored, with a number of viable avenues identified.
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