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Quantum Simulation
Open Quantum Systems Decoherence
Functional Lagrange formalism for time-non-local Lagrangians
arXiv
Authors: Luca Ferialdi, Angelo Bassi
Year
2011
Paper ID
29273
Status
Preprint
Abstract Read
~2 min
Abstract Words
83
Citations
N/A
Abstract
We develop a time-non-local (TNL) formalism based on variational calculus, which allows for the analysis of TNL Lagrangians. We derive the generalized Euler-Lagrange equations starting from the Hamilton's principle and, by defining a generalized momentum, we introduce the corresponding Hamiltonian formalism. We apply the formalism to second order TNL Lagrangians and we show that it reproduces standard results in the time-local limit. An example will show how the formalism works, and will provide an interesting insight on the non-standard features of TNL equations.
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- We develop a time-non-local (TNL) formalism based on variational calculus, which allows for the analysis of TNL Lagrangians.
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