A Non-Differentiable Quantum Variational Embedding in Presence of Time Delays

Gastão S. F. Frederico, Delfim F. M. Torres

Publication date: 19 November 2012

Abstract: We develop Cresson's non-differentiable embedding to quantum problems of the calculus of variations and optimal control with time delay. Main results show that the dynamics of non-differentiable Lagrangian and Hamiltonian systems with time delays can be determined, in a coherent way, by the least-action principle.

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Variational principles of physics (49S05) Optimality conditions for free problems in one independent variable (49K05)

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