Titlebook: Classical and Quantum Dynamics; From Classical Paths Walter Dittrich,Martin Reuter Textbook 20175th edition Springer International Publishi

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Reluctant Reinforcement Learningrs appear in the expression for the adiabatic invariants. We now wish to begin to locally remove such resonances by trying, with the help of a canonical transformation, to go to a coordinate system which rotates with the resonant frequency.

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Esra’a Alshdaifat,Frans Coenen,Keith Dureslow).Until now we have transformed the Hamiltonian . = .. + .. by successive canonical transformations in such a manner that the order of the perturbation grows by one power in . with every step. After the .th transformation we therefore obtain

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https://doi.org/10.1007/978-3-319-02621-3particular, we want to investigate the conditions under which a path is a minimum of the action and those under which it is merely an extremum. For illustrative purposes we consider a particle in two-dimensional real space.

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Reluctant Reinforcement Learning..) is the generator of a canonical transformation to new constant momenta .. (all .. are ignorable), and the new Hamiltonian depends only on the ..: . = . = .(..). Besides, the following canonical equations are valid:

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