Introduction to Perturbation Theory in Quantum Mechanics, Fernandez, Francisco M.
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: Oktay Veliev Название: Multidimensional Periodic Schr?dinger Operator ISBN: 3319386719 ISBN-13(EAN): 9783319386713 Издательство: Springer Рейтинг: Цена: 104480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. Using the perturbation theory constructed in this book, the spectral invariants of the multidimensional operator from the given Bloch eigenvalues are determined.
Автор: Sears William Rees Название: Small Perturbation Theory ISBN: 069165235X ISBN-13(EAN): 9780691652351 Издательство: Wiley Рейтинг: Цена: 83550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Part of the Princeton Aeronautical Paperback series designed to bring to students and research engineers outstanding portions of the twelve-volume High Speed Aerodynamics and Jet Propulsion series. These books have been prepared by direct reproduction of the text from the original series and no attempt has been made to provide introductory material
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: Gustavo A. Arteca; Francisco M. Fernandez; Eduardo Название: Large Order Perturbation Theory and Summation Methods in Quantum Mechanics ISBN: 3540528474 ISBN-13(EAN): 9783540528470 Издательство: Springer Рейтинг: Цена: 121890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book provides a general, broad approach to aspects of perturbation theory. The aim has been to cover all topics of interest, from construction, analysis, and summation of perturbation series to applications. Emphasis is placed on simple methods, as well as clear, intuitive ideas stemming from the physics of systems of interest.
Автор: Dmitry Treschev; Oleg Zubelevich Название: Introduction to the Perturbation Theory of Hamiltonian Systems ISBN: 3642261043 ISBN-13(EAN): 9783642261046 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents the basic methods of regular perturbation theory of Hamiltonian systems in an accessible fashion. It discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems, and most results include complete proofs.
Автор: Barry G. Adams Название: Algebraic Approach to Simple Quantum Systems ISBN: 3540578013 ISBN-13(EAN): 9783540578017 Издательство: Springer Рейтинг: Цена: 74490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Aimed at students taking courses in theoretical and computational chemistry, this text introduces the Lie algebras needed for a study of simple quantum systems, and then proceeds to present applications of these algebraic methods to perturbation potentials using symbolic computation.
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;
Автор: Marchuk, Guri I. , Agoshkov, Valeri I. , Shutyae Название: Adjoint Equations and Perturbation Algorithms in Nonlinear Problems ISBN: 0367448580 ISBN-13(EAN): 9780367448585 Издательство: Taylor&Francis Рейтинг: Цена: 67360.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents the theory of adjoint equations in nonlinear problems and their applications to perturbation algorithms for solution of nonlinear problems in mathematical physics. It formulates a series of principles of construction of adjoint operators in nonlinear problems.
Preface.- Introduction.- 1.Preliminaries.- 2.Symmetric Operators and Closable Quadratic Forms.- 3.Self-adjoint Extensions of Symmetric Operators.- 4.Rigged Hilbert Spaces.- 5.Singular Quadratic Forms.- 6.Dense Subspaces in Scales of Hilbert Spaces.- 7.Singular Perturbations of Self-adjoint Operators.- 8.Super-singular Perturbations.- 9.Some Aspects of the Spectral Theory.- References.- Subject Index.- Notation Index.
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: Armando Marino Название: A New Target Detector Based on Geometrical Perturbation Filters for Polarimetric Synthetic Aperture Radar (POL-SAR) ISBN: 3642431569 ISBN-13(EAN): 9783642431562 Издательство: Springer Рейтинг: Цена: 121890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This publication details a groundbreaking radar methodology called perturbation analysis, which enables detection of targets smaller than the resolution cell that are highly embedded in clutter. It pushes forward the performance limits of current algorithms.
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