Автор: Fumio Hiroshima Название: Ground States of Quantum Field Models ISBN: 9813293047 ISBN-13(EAN): 9789813293045 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book provides self-contained proofs of the existence of ground states of several interaction models in quantum field theory. Interaction models discussed here include the spin-boson model, the Nelson model with and without an ultraviolet cutoff, and the Pauli–Fierz model with and without dipole approximation in non-relativistic quantum electrodynamics. These models describe interactions between bose fields and quantum mechanical matters.
A ground state is defined as the eigenvector associated with the bottom of the spectrum of a self-adjoint operator describing the Hamiltonian of a model. The bottom of the spectrum is however embedded in the continuum and then it is non-trivial to show the existence of ground states in non-perturbative ways. We show the existence of the ground state of the Pauli–Fierz mode, the Nelson model, and the spin-boson model, and several kinds of proofs of the existence of ground states are explicitly provided. Key ingredients are compact sets and compact operators in Hilbert spaces. For the Nelson model with an ultraviolet cutoff and the Pauli–Fierz model with dipole approximation we show not only the existence of ground states but also enhanced binding. The enhanced binding means that a system for zero-coupling has no ground state but it has a ground state after turning on an interaction.
The book will be of interest to graduate students of mathematics as well as to students of the natural sciences who want to learn quantum field theory from a mathematical point of view. It begins with abstract compactness arguments in Hilbert spaces and definitions of fundamental facts of quantum field theory: boson Fock spaces, creation operators, annihilation operators, and second quantization. This book quickly takes the reader to a level where a wider-than-usual range of quantum field theory can be appreciated, and self-contained proofs of the existence of ground states and enhanced binding are presented.
Автор: Fernandez, Francisco M. Название: Introduction to Perturbation Theory in Quantum Mechanics ISBN: 0849318777 ISBN-13(EAN): 9780849318771 Издательство: Taylor&Francis Рейтинг: Цена: 244990.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Shishkin, Grigory I. , Shishkina, Lidia P. Название: Difference Methods for Singular Perturbation Problems ISBN: 0367386828 ISBN-13(EAN): 9780367386825 Издательство: Taylor&Francis Рейтинг: Цена: 65320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods.
The first part of the book explores boundary value problems for elliptic and parabolic reaction-diffusion and convection-diffusion equations in n-dimensional domains with smooth and piecewise-smooth boundaries. The authors develop a technique for constructing and justifying ε uniformly convergent difference schemes for boundary value problems with fewer restrictions on the problem data.
Containing information published mainly in the last four years, the second section focuses on problems with boundary layers and additional singularities generated by nonsmooth data, unboundedness of the domain, and the perturbation vector parameter. This part also studies both the solution and its derivatives with errors that are independent of the perturbation parameters.
Co-authored by the creator of the Shishkin mesh, this book presents a systematic, detailed development of approaches to construct ε uniformly convergent finite difference schemes for broad classes of singularly perturbed boundary value problems.
Автор: Bush, Alan W. Название: Perturbation Methods for Engineers and Scientists ISBN: 036740284X ISBN-13(EAN): 9780367402846 Издательство: Taylor&Francis Рейтинг: Цена: 65320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Perturbation Methods for Engineers and Scientists examines the main techniques of perturbation expansions applied to both differential equations and integral expressions. It describes several fluid dynamics applications, including aerofoils, boundary layers in momentum heat, and mass transfer. In addition, it applies the multiple scale technique to the description of surface roughness effects in lubrication. The book's intuitive, rather than formal, approach enables these advanced techniques to be used by scientists and engineers as well as by students.
Автор: R.S. Johnson Название: Singular Perturbation Theory ISBN: 1441935878 ISBN-13(EAN): 9781441935878 Издательство: Springer Рейтинг: Цена: 174130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established.
Автор: Sylvio Ferraz-Mello Название: Canonical Perturbation Theories ISBN: 1441922857 ISBN-13(EAN): 9781441922854 Издательство: Springer Рейтинг: Цена: 186340.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems.
Автор: Oro, Daniel (professor Of Research, Professor Of Research, Blanes Centre For Advanced Studies (ceab) Csic) Название: Perturbation, behavioural feedbacks, and population dynamics in social animals ISBN: 0198849834 ISBN-13(EAN): 9780198849834 Издательство: Oxford Academ Рейтинг: Цена: 80250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This novel, transdisciplinary work explains how perturbations (defined as strong disturbances or deviations to a system) can affect the population dynamics of social animals, including ourselves.
Автор: Fernandez, Francisco M. Название: Introduction to Perturbation Theory in Quantum Mechanics ISBN: 036757893X ISBN-13(EAN): 9780367578930 Издательство: Taylor&Francis Рейтинг: Цена: 48990.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
Автор: J.K. Kevorkian; J.D. Cole Название: Multiple Scale and Singular Perturbation Methods ISBN: 146128452X ISBN-13(EAN): 9781461284529 Издательство: Springer Рейтинг: Цена: 158380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer- Verlag, 1981).
Автор: Anatoli V. Skorokhod; Frank C. Hoppensteadt; Habib Название: Random Perturbation Methods with Applications in Science and Engineering ISBN: 1468492713 ISBN-13(EAN): 9781468492712 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications.Appeals to researchers and graduate students who require tools to investigate stochastic systems.
Автор: Giampaolo Cicogna; Guiseppe Gaeta Название: Symmetry and Perturbation Theory in Nonlinear Dynamics ISBN: 3642085180 ISBN-13(EAN): 9783642085185 Издательство: Springer Рейтинг: Цена: 104480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: has been in the of a Symmetry major ingredient development quantum perturba tion and it is a basic of the of theory, ingredient theory integrable (Hamiltonian and of the the use in context of non Hamiltonian) systems;
Казахстан, 010000 г. Астана, проспект Туран 43/5, НП2 (офис 2) ТОО "Логобук" Тел:+7 707 857-29-98 ,+7(7172) 65-23-70 www.logobook.kz
