Introduction to Perturbation Theory in Quantum Mechanics

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Release : 2000-09-19
Genre : Science
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Book Rating : 644/5 ( reviews)

Introduction to Perturbation Theory in Quantum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Perturbation Theory in Quantum Mechanics write by Francisco M. Fernandez. This book was released on 2000-09-19. Introduction to Perturbation Theory in Quantum Mechanics available in PDF, EPUB and Kindle. Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation

A First Look at Perturbation Theory

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Release : 2013-07-04
Genre : Mathematics
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Book Rating : 584/5 ( reviews)

A First Look at Perturbation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A First Look at Perturbation Theory write by James G. Simmonds. This book was released on 2013-07-04. A First Look at Perturbation Theory available in PDF, EPUB and Kindle. Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.

Mathematics of Complexity and Dynamical Systems

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Release : 2011-10-05
Genre : Mathematics
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Book Rating : 054/5 ( reviews)

Mathematics of Complexity and Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics of Complexity and Dynamical Systems write by Robert A. Meyers. This book was released on 2011-10-05. Mathematics of Complexity and Dynamical Systems available in PDF, EPUB and Kindle. Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Adiabatic Perturbation Theory in Quantum Dynamics

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Release : 2003
Genre : Perturbation (Quantum dynamics)
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Book Rating : 232/5 ( reviews)

Adiabatic Perturbation Theory in Quantum Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Adiabatic Perturbation Theory in Quantum Dynamics write by Stefan Teufel. This book was released on 2003. Adiabatic Perturbation Theory in Quantum Dynamics available in PDF, EPUB and Kindle.

Introduction to Quantum Mechanics with Applications to Chemistry

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Release : 2012-06-08
Genre : Science
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Book Rating : 938/5 ( reviews)

Introduction to Quantum Mechanics with Applications to Chemistry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Quantum Mechanics with Applications to Chemistry write by Linus Pauling. This book was released on 2012-06-08. Introduction to Quantum Mechanics with Applications to Chemistry available in PDF, EPUB and Kindle. Classic undergraduate text explores wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, and the structure of simple and complex molecules. Numerous tables and figures.