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Evolution speed of open quantum dynamics
Dorje C Brody, Bradley Longstaff
The space of density matrices is embedded in a Euclidean space to deduce the dynamical equation satisfied by the state of an open quantum system. The Euclidean norm is used to obta…
Making sense of the divergent series for reconstructing a Hamiltonian from its eigenstates and eigenvalues
Carl M. Bender, Dorje C. Brody, Matthew F. Parry
In quantum mechanics the eigenstates of the Hamiltonian form a complete basis. However, physicists conventionally express completeness as a formal sum over the eigenstates, and thi…
Modelling election dynamics and the impact of disinformation
Dorje C Brody
Complex dynamical systems driven by the unravelling of information can be modelled effectively by treating the underlying flow of information as the model input. Complicated dynami…
Theory of Cryptocurrency Interest Rates
Dorje C. Brody, Lane P. Hughston, Bernhard K. Meister
A term structure model in which the short rate is zero is developed as a candidate for a theory of cryptocurrency interest rates. The price processes of crypto discount bonds are w…