| Springer Nature B.V.

66,000원  | 20230729  | 9789819937059

Spectral properties for Schrodinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle systems, we now have sufficient knowledge for two-body systems, although much less is known about N-body systems. The asymptotic completeness of time-dependent wave operators was proved in the 1980s and was a landmark in the study of the N-body problem. However, many problems are left open for the stationary N-particle equation.

Popelier, Paul  | World Scientific Pub Co Inc

229,430원  | 20110831  | 9781848167247

The Schrodinger equation is the master equation of quantum chemistry. The founders of quantum mechanics realised how this equation underpins essentially the whole of chemistry. This title focuses on non-mainstream methods to solve the molecular electronic Schrodinger equation.

Muller-Kirsten  | World Scientific

35,000원  | 20060330  | 9789812566928

After a consideration of basic quantum mechanics, this introduction aims at a side by side treatment of fundamental applications of the Schrodinger equation on the one hand and the applications of the path integral on the other. Different from traditional texts and using a systematic perturbation method, the solution of Schrodinger equations includes also those with anharmonic oscillator potentials, periodic potentials, screened Coulomb potentials and a typical singular potential, as well as the investigation of the large order behavior of the perturbation series. On the path integral side, after introduction of the basic ideas, the expansion around classical configurations in Euclidean time, such as instantons, is considered, and the method is applied in particular to anharmonic oscillator and periodic potentials. Numerous other aspects are treated on the way, thus providing the reader an instructive overview over diverse quantum mechanical phenomena, e.g. many other potentials, Green's functions, comparison with WKB, calculation of lifetimes and sojourn times, derivation of generating functions, the Coulomb problem in various coordinates, etc. All calculations are given in detail, so that the reader can follow every step.

 | Cambridge

0원  | 19980201  | 9780521392259

Grosse, Harald  | Cambridge

72,600원  | 20051130  | 9780521017787

Introduces modern developments on the bound state problem in Schroedinger potential theory and its applications in particle physics. It covers two-body problems, relativistic generalisations, the inverse problem, 3-body and N-body problems. Emphasis is given to showing how theory can be tested by experiment. Many references are provided.

Sulem, Catherine/ Sulem, P. L.  | Springer

0원  | 19990601  | 9780387986111

This monograph aims to fill the gap between the mathematical literature which significantly contributed during the last decade to the understanding of the collapse phenomenon, and applications to domains like plasma physics and nonlinear optics where this process provides a fundamental mechanism for small scale formation and wave dissipation. This results in a localized heating of the medium and in the case of propagation in a dielectric to possible degradation of the material. For this purpose, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal asymptotic expansions and numerical simulations.

Kawano, Kenji/ Kitoh, Tsutomu  | Wiley

234,010원  | 20210101  | 9780471406341

A complete survey of modern design and analysis techniques for optical waveguidesThis volume thoroughly details modern and widely accepted methods for designing the optical waveguides used in telecommunications systems. It offers a straightforward presentation of the sophisticated techniques used in waveguide analysis and enables a quick grasp of modern numerical methods with easy mathematics. The book is intended to guide the reader to a comprehensive understanding of optical waveguide analysis through self-study. This comprehensive presentation includes:* An extensive and exhaustive list of mathematical manipulations* Detailed explanations of common design methods: finite element method (FEM), finite difference method (FDM), beam propagation method (BPM), and finite difference time-domain method (FD-TDM)* Explanations for numerical solutions of optical waveguide problems with sophisticated techniques used in modern computer-aided design (CAD) software* Solutions to Maxwell's equations and the Schrodinger equationThe authors provide excellent self-study material for practitioners, researchers, and students, while also presenting detailed mathematical manipulations that can be easily understood by readers who are unfamiliar with them. Introduction to Optical Waveguide Analysis presents modern design methods in a comprehensive and easy-to-understand format.

Pelinovsky, Dmitry E.  | Cambridge University Press

150,100원  | 20111128  | 9781107621541

This book provides a comprehensive treatment of the Gross?Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the mean-field model of the Bose?Einstein condensation as the starting point of analysis and addresses the existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schr?dinger equations, the nonlinear Dirac equations, and the discrete nonlinear Schr?dinger equations. One of the important features of such systems is the existence of band gaps in the wave transmission spectra, which support stationary localized modes known as the gap solitons. These localized modes realise a balance between periodicity, dispersion and nonlinearity of the physical system. Written for researchers in applied mathematics, this book mainly focuses on the mathematical properties of the Gross?Pitaevskii equation. It also serves as a reference for theoretical physicists interested in localization in periodic potentials.

 | Xlibris

32,990원  | 20170410  | 9781524592608

This book is a university physics book designed to teach and be a reference book at university about modern physics. This book is straightforward in explaining university physics to the reader.