Schrodinger Equation PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Schrodinger Equation PDF full book. Access full book title Schrodinger Equation.
| Author | : F.A. Berezin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 573 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401131546 |
Download The Schrödinger Equation Book in PDF, ePub and Kindle
This volume deals with those topics of mathematical physics, associated with the study of the Schrödinger equation, which are considered to be the most important. Chapter 1 presents the basic concepts of quantum mechanics. Chapter 2 provides an introduction to the spectral theory of the one-dimensional Schrödinger equation. Chapter 3 opens with a discussion of the spectral theory of the multi-dimensional Schrödinger equation, which is a far more complex case and requires careful consideration of aspects which are trivial in the one-dimensional case. Chapter 4 presents the scattering theory for the multi-dimensional non-relativistic Schrödinger equation, and the final chapter is devoted to quantization and Feynman path integrals. These five main chapters are followed by three supplements, which present material drawn on in the various chapters. The first two supplements deal with general questions concerning the spectral theory of operators in Hilbert space, and necessary information relating to Sobolev spaces and elliptic equations. Supplement 3, which essentially stands alone, introduces the concept of the supermanifold which leads to a more natural treatment of quantization. Although written primarily for mathematicians who wish to gain a better awareness of the physical aspects of quantum mechanics and related topics, it will also be useful for mathematical physicists who wish to become better acquainted with the mathematical formalism of quantum mechanics. Much of the material included here has been based on lectures given by the authors at Moscow State University, and this volume can also be recommended as a supplementary graduate level introduction to the spectral theory of differential operators with both discrete and continuous spectra. This English edition is a revised, expanded version of the original Soviet publication.
| Author | : Daniel A. Fleisch |
| Publisher | : Cambridge University Press |
| Total Pages | : 237 |
| Release | : 2020-02-20 |
| Genre | : Mathematics |
| ISBN | : 1108834736 |
Download A Student's Guide to the Schrödinger Equation Book in PDF, ePub and Kindle
A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.
| Author | : Thierry Cazenave |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 346 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 0821833995 |
Download Semilinear Schrodinger Equations Book in PDF, ePub and Kindle
The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, particularly because of its applications to nonlinear optics. This book presents various mathematical aspects of the nonlinear Schrodinger equation. It studies both problems of local nature and problems of global nature.
| Author | : Gadi Fibich |
| Publisher | : Springer |
| Total Pages | : 870 |
| Release | : 2015-03-06 |
| Genre | : Mathematics |
| ISBN | : 3319127489 |
Download The Nonlinear Schrödinger Equation Book in PDF, ePub and Kindle
This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schrödinger equation. With great care and detail, it develops the subject including the mathematical and physical background and the history of the subject. It combines rigorous analysis, asymptotic analysis, informal arguments, numerical simulations, physical modelling, and physical experiments. It repeatedly emphasizes the relations between these approaches, and the intuition behind the results. The Nonlinear Schrödinger Equation will be useful to graduate students and researchers in applied mathematics who are interested in singular solutions of partial differential equations, nonlinear optics and nonlinear waves, and to graduate students and researchers in physics and engineering who are interested in nonlinear optics and Bose-Einstein condensates. It can be used for courses on partial differential equations, nonlinear waves, and nonlinear optics. Gadi Fibich is a Professor of Applied Mathematics at Tel Aviv University. “This book provides a clear presentation of the nonlinear Schrodinger equation and its applications from various perspectives (rigorous analysis, informal analysis, and physics). It will be extremely useful for students and researchers who enter this field.” Frank Merle, Université de Cergy-Pontoise and Institut des Hautes Études Scientifiques, France
| Author | : Catherine Sulem |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 363 |
| Release | : 2007-06-30 |
| Genre | : Mathematics |
| ISBN | : 0387227687 |
Download The Nonlinear Schrödinger Equation Book in PDF, ePub and Kindle
Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.
| Author | : Paul L. A. Popelier |
| Publisher | : World Scientific |
| Total Pages | : 375 |
| Release | : 2011 |
| Genre | : Science |
| ISBN | : 1848167253 |
Download Solving the Schrodinger Equation Book in PDF, ePub and Kindle
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. However, they recognised that its exact application was much too complicated to be solvable at the time. More than two generations of researchers were left to work out how to achieve this ambitious goal for molecular systems of ever-increasing size. This book focuses on non-mainstream methods to solve the molecular electronic Schrodinger equation. Each method is based on a set of core ideas and this volume aims to explain these ideas clearly so that they become more accessible. By bringing together these non-standard methods, the book intends to inspire graduate students, postdoctoral researchers and academics to think of novel approaches. Is there a method out there that we have not thought of yet? Can we design a new method that combines the best of all worlds?
| Author | : Panayotis G. Kevrekidis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 417 |
| Release | : 2009-07-07 |
| Genre | : Science |
| ISBN | : 3540891994 |
Download The Discrete Nonlinear Schrödinger Equation Book in PDF, ePub and Kindle
This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes.
| Author | : M. Nagasawa |
| Publisher | : Birkhäuser |
| Total Pages | : 335 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034885687 |
Download Schrödinger Equations and Diffusion Theory Book in PDF, ePub and Kindle
Schrödinger Equations and Diffusion Theory addresses the question "What is the Schrödinger equation?" in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger's conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tell us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles. The method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schrödinger equations. The theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schrödinger equation, namely, quantum mechanics. The text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level.
| Author | : Kai L. Chung |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 297 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 364257856X |
Download From Brownian Motion to Schrödinger’s Equation Book in PDF, ePub and Kindle
In recent years, the study of the theory of Brownian motion has become a powerful tool in the solution of problems in mathematical physics. This self-contained and readable exposition by leading authors, provides a rigorous account of the subject, emphasizing the "explicit" rather than the "concise" where necessary, and addressed to readers interested in probability theory as applied to analysis and mathematical physics. A distinctive feature of the methods used is the ubiquitous appearance of stopping time. The book contains much original research by the authors (some of which published here for the first time) as well as detailed and improved versions of relevant important results by other authors, not easily accessible in existing literature.
| Author | : Tuncay Aktosun |
| Publisher | : Springer Nature |
| Total Pages | : 631 |
| Release | : 2020-05-19 |
| Genre | : Mathematics |
| ISBN | : 3030384314 |
Download Direct and Inverse Scattering for the Matrix Schrödinger Equation Book in PDF, ePub and Kindle
Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrödinger equation on the half line with the general selfadjoint boundary condition. The existence, uniqueness, construction, and characterization aspects are treated with mathematical rigor, and physical insight is provided to make the material accessible to mathematicians, physicists, engineers, and applied scientists with an interest in scattering and inverse scattering. The material presented is expected to be useful to beginners as well as experts in the field. The subject matter covered is expected to be interesting to a wide range of researchers including those working in quantum graphs and scattering on graphs. The theory presented is illustrated with various explicit examples to improve the understanding of scattering and inverse scattering problems. The monograph introduces a specific class of input data sets consisting of a potential and a boundary condition and a specific class of scattering data sets consisting of a scattering matrix and bound-state information. The important problem of the characterization is solved by establishing a one-to-one correspondence between the two aforementioned classes. The characterization result is formulated in various equivalent forms, providing insight and allowing a comparison of different techniques used to solve the inverse scattering problem. The past literature treated the type of boundary condition as a part of the scattering data used as input to recover the potential. This monograph provides a proper formulation of the inverse scattering problem where the type of boundary condition is no longer a part of the scattering data set, but rather both the potential and the type of boundary condition are recovered from the scattering data set.
