Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory (Запис № 451238)

МАРК-запис
000 -LEADER
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001 - CONTROL NUMBER
control field 978-3-319-45784-0
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210118143703.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319457840
-- 978-3-319-45784-0
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-45784-0
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC5.53
072 #7 - SUBJECT CATEGORY CODE
Subject category code PHU
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI040000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PHU
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.15
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bru, J.-B.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
Medium [electronic resource] /
Statement of responsibility, etc by J.-B. Bru, W. de Siqueira Pedra.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2017.
264 #1 -
-- Cham :
-- Springer International Publishing :
-- Imprint: Springer,
-- 2017.
300 ## - PHYSICAL DESCRIPTION
Extent VII, 109 p.
Other physical details online resource.
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-- online resource
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490 1# - SERIES STATEMENT
Series statement SpringerBriefs in Mathematical Physics,
Міжнародний стандартний серійний номер для назви серії (ISSN) 2197-1757 ;
Том/ позначення послідовності 13
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction -- Algebraic Quantum Mechanics -- Algebraic Setting for Interacting Fermions on the Lattice -- Lieb–Robinson Bounds for Multi–Commutators -- Lieb–Robinson Bounds for Non–Autonomous Dynamics -- Applications to Conductivity Measures.
520 ## - SUMMARY, ETC.
Summary, etc 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.
506 ## - RESTRICTIONS ON ACCESS NOTE
Terms governing access Available to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Online access from local network of NaUOA.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Online access with authorization at https://link.springer.com/
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Онлайн-доступ з локальної мережі НаУОА.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Онлайн доступ з авторизацією на https://link.springer.com/
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functional analysis.
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650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Physics.
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650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functional Analysis.
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Topical term or geographic name as entry element Condensed Matter Physics.
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700 1# - ADDED ENTRY--PERSONAL NAME
Personal name de Siqueira Pedra, W.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319457833
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319457857
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title SpringerBriefs in Mathematical Physics,
-- 2197-1757 ;
Volume number/sequential designation 13
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-3-319-45784-0">https://doi.org/10.1007/978-3-319-45784-0</a>
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type ЕКнига

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