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According to the adopted notation, considering a scalar function f(a) and a vector a, we have that represents the vector whose elements are given by , for .
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According to the adopted notation, considering a scalar function f(a) and a vector a, we have that represents the vector whose elements are given by for.
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29
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79957896813
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Following the adopted notation, considering a scalar function f(a, b) and two arbitrary vectors a and b, we have that represents the matrix whose elements are given by , for .
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Following the adopted notation, considering a scalar function f(a, b) and two arbitrary vectors a and b, we have that represents the matrix whose elements are given by for.
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30
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79957925976
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For two vector quantities a and b, we denote by the matrix whose elements follow from , for .
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For two vector quantities a and b, we denote by the matrix whose elements follow from for.
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31
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79957926595
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The subindex d indicates the time discretization of dynamical quantities. Therefore, the omission of this index points out the continuous limit of the corresponding functionals.
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The subindex d indicates the time discretization of dynamical quantities. Therefore, the omission of this index points out the continuous limit of the corresponding functionals.
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32
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79957884206
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Here, we introduce the notation for the dyadic product between vectors. Considering two arbitrary vectors a and b, the matrix elements of a⊗b are given by (a⊗b)jk = ajbk.
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Here, we introduce the notation for the dyadic product between vectors. Considering two arbitrary vectors a and b, the matrix elements of a⊗b are given by (a⊗b)jk = ajbk.
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33
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79957884752
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The error incurred by this approximation is O(1/N) (see Ref. 43). The number of particles N plays the role of 1/h in the harmonic-oscillator coherent-state propagator (see Appendix B of Baranger (see Ref. 27)).
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The error incurred by this approximation is O(1/N) (see Ref. 43). The number of particles N plays the role of 1/h in the harmonic-oscillator coherent-state propagator (see Appendix B of Baranger (see Ref. 27)).
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79957886031
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A focal point represents a crossing between trajectories when projected onto a particular subspace of the complete phase space.
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A focal point represents a crossing between trajectories when projected onto a particular subspace of the complete phase space.
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43
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