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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
Jean-Bernard Bru
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Description for Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
Paperback. Series: SpringerBriefs in Mathematical Physics. Num Pages: 109 pages, biography. BIC Classification: PBKF; PHF; PHQ; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 6. Weight in Grams: 197.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
109
Condition
New
Series
SpringerBriefs in Mathematical Physics
Number of Pages
109
Place of Publication
Cham, Switzerland
ISBN
9783319457833
SKU
V9783319457833
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
“This volume deals with Lieb-Robinson bounds for multi-commutators of fermionic systems. … This book is reasonably self-contained … and has complete proofs in the parts describing more recent developments of the theory (Chapters 4– 6). It is recommended for researchers wanting to learn about generalization of Lieb-Robinson bounds and some of its important applications in the description of quantum matter.” ... Read more