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Synopsis
Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.In particular, the existence of fundamental solutions is shown for those (non-autonomous) C*-dynamical systems for which the usual conditions found in standard theories of (parabolic or hyperbolic) non-autonomous evolution equations are not given. In mathematical physics, bounds on multi-commutators of an order higher than two can be used to study linear and non-linear responses of interacting particles to external perturbations. These bounds are derived for lattice fermions, in view of applications to microscopic quantum theory of electrical conduction discussed in this book. All results also apply to quantum spin systems, with obvious modifications. In order to make the results accessible to a wide audience, in particular to students in mathematicswith little Physics background, basics of Quantum Mechanics are presented, keeping in mind its algebraic formulation. The C*-algebraic setting for lattice fermions, as well as the celebrated Lieb-Robinson bounds for commutators, are explained in detail, for completeness.
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- ÉditeurSpringer
- Date d'édition2016
- ISBN 10 3319457837
- ISBN 13 9783319457833
- ReliureBroché
- Langueanglais
- Numéro d'édition1
- Nombre de pages120
- Coordonnées du fabricantnon disponible
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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory (SpringerBriefs in Mathematical Physics, 13)
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Springer, 2016
ISBN 10 : 3319457837
ISBN 13 : 9783319457833
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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
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Springer International Publishing, 2016
ISBN 10 : 3319457837
ISBN 13 : 9783319457833
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.In particular, th. N° de réf. du vendeur 127844566
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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
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Berlin Springer International Publishing Springer Dez 2016, 2016
ISBN 10 : 3319457837
ISBN 13 : 9783319457833
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.In particular, the existence of fundamental solutions is shown for those (non-autonomous) C\*-dynamical systems for which the usual conditions found in standard theories of (parabolic or hyperbolic) non-autonomous evolution equations are not given. In mathematical physics, bounds on multi-commutators of an order higher than two can be used to study linear and non-linear responses of interacting particles to external perturbations. These bounds are derived for lattice fermions, in view of applications to microscopic quantum theory of electrical conduction discussed in this book. All results also apply to quantum spin systems, with obvious modifications. In order to make the results accessible to a wide audience, in particular to students in mathematics with little Physics background, basics of Quantum Mechanics are presented, keeping in mind its algebraic formulation. The C\*-algebraic setting for lattice fermions, as well as the celebrated Lieb-Robinson bounds for commutators, are explained in detail, for completeness. 109 pp. Englisch. N° de réf. du vendeur 9783319457833
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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory (SpringerBriefs in Mathematical Physics, 13)
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Lieb-Robinson Bounds For Multi-Commutators And Applications To Response Theory
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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
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Springer, Berlin, Springer International Publishing, Springer, 2016
ISBN 10 : 3319457837
ISBN 13 : 9783319457833
Neuf
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.In particular, the existence of fundamental solutions is shown for those (non-autonomous) C\*-dynamical systems for which the usual conditions found in standard theories of (parabolic or hyperbolic) non-autonomous evolution equations are not given. In mathematical physics, bounds on multi-commutators of an order higher than two can be used to study linear and non-linear responses of interacting particles to external perturbations. These bounds are derived for lattice fermions, in view of applications to microscopic quantum theory of electrical conduction discussed in this book. All results also apply to quantum spin systems, with obvious modifications. In order to make the results accessible to a wide audience, in particular to students in mathematicswith little Physics background, basics of Quantum Mechanics are presented, keeping in mind its algebraic formulation. The C\*-algebraic setting for lattice fermions, as well as the celebrated Lieb-Robinson bounds for commutators, are explained in detail, for completeness. N° de réf. du vendeur 9783319457833
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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory (SpringerBriefs in Mathematical Physics)
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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
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