Evolution of Eresmann's jet theory
Włodzimierz M. Tulczyjew (2007)
Banach Center Publications
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Włodzimierz M. Tulczyjew (2007)
Banach Center Publications
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B. Lysik (1959)
Applicationes Mathematicae
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Marcelo Epstein (1999)
Extracta Mathematicae
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H. Boroch (1960)
Applicationes Mathematicae
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Lj.B. Radosavljevic (1953)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Brandon Carter (1992)
Recherche Coopérative sur Programme n°25
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Marcello Porta (2014-2015)
Séminaire Laurent Schwartz — EDP et applications
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We study the dynamics of interacting fermionic systems, in the mean-field regime. We consider initial states which are close to quasi-free states and prove that, under suitable assumptions on the inital data and on the many-body interaction, the quantum evolution of the system is approximated by a time-dependent quasi-free state. In particular we prove that the evolution of the reduced one-particle density matrix converges, as the number of particles goes to infinity, to the solution...
Naoki Tanaka (2001)
Studia Mathematica
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A class of evolution operators is introduced according to the device of Kato. An evolution operator introduced here provides a classical solution of the linear equation u'(t) = A(t)u(t) for t ∈ [0,T], in a general Banach space. The paper presents a necessary and sufficient condition for the existence and uniqueness of such an evolution operator.
D.M.A. Leggett (1954)
Publications de l'Institut Mathématique [Elektronische Ressource]
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V. Basilevich (1953)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Soumia Saïdi, Mustapha Fateh Yarou (2015)
Annales Polonici Mathematici
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On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
A. Krzywicki, A. Rybarski (1962)
Applicationes Mathematicae
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A. Krzywicki, A. Rybarski (1964)
Applicationes Mathematicae
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