Application of the factorization method to problems of quantum mechanics
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Application of the factorization method to problems of quantum mechanics by H. R. Coish

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Published by s.n.] in [Toronto .
Written in English


Book details:

Edition Notes

Thesis (M.A.)--University of Toronto, 1946.

StatementH. R. Coish.
ID Numbers
Open LibraryOL14848936M

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  Problem solving in physics is not simply a test of understanding the subject, but is an integral part of learning it. In this book, the basic ideas and methods of quantum mechanics are illustrated by means of a carefully chosen set of problems, complete Cited by: 5. applications in non-relativistic quantum mechanics, from Chapter 4 to Chap- we shall apply our new approach to the factorization method to study some important quantum systems such as the harmonic oscillator, infinitely.   We present the general ideas on supersymmetric quantum mechanics (SUSY-QM) using different representations for the operators in question, which are defined by the corresponding bosonic Hamiltonian as part of SUSY Hamiltonian and its supercharges, which are defined as matrix or differential operators. We show that, although most of the SUSY partners of one-dimensional Schrödinger problems Author: José Socorro García Díaz, Marco A. Reyes, Carlos Villaseñor Mora, Edgar Condori Pozo. although the factorization method was developed to solve the eigen value problem re- lated with the time-independent Schr¨ oding er equation, it is also a very po wer ful tool.

Quantum Mechanics: Concepts and Applications provides a clear, balanced and modern introduction to the subject. Written with the student’s background and ability in mind the book takes an innovative approach to quantum mechanics by combining the essential elements of the theory with the practical applications: it is therefore both a textbook and a problem solving book in one self-contained. of the factorization method is that the energy spectrum and the wavefunction of a quantum systemareobtainedalgebraicallyiftheSEisfactorizable(Frank&Isacker,;Infeld&Hull, ). The solution of the SE is fundamental to understand the energy spectrum of a particle since the early days of quantum mechanics (Flügge, ).   Problem solving in physics is not simply a test of understanding the subject, but is an integral part of learning it. In this book, the basic ideas and methods of quantum mechanics are illustrated by means of a carefully chosen set of problems, complete Reviews: 4. Quantum Mechanics by Robert Littlejohn. This note covers the following topics:The Mathematical Formalism of Quantum Mechanics, Postulates of Quantum Mechanics, Density Operator, Spatial Degrees of Freedom, Time Evolution in Quantum Mechanics, The WKB Method, Harmonic Oscillators and Coherent States, The Propagator and the Path Integral, Charged Particles in Magnetic Fields, .

  Description This book introduces the factorization method in quantum mechanics at an advanced level, with the aim of putting mathematical and physical concepts and techniques like the factorization method, Lie algebras, matrix elements and quantum control at the reader's disposal. Quantum Mechanics: Concepts and Applications provides a clear, balanced and modern introduction to the subject. Written with the student’s background and ability in mind the book takes an innovative approach to quantum mechanics by combining the essential elements of the theory with the practical applications: it is therefore both a textbook and a problem solving book in one self-contained Reviews: 1. This book aims to bridge the gap between the classic Coulson’s Valence, where application of wave mechanical principles to valence theory is presented in a fully non-mathematical way, and McWeeny’s Methods of Molecular Quantum Mechanics, where recent advances in the application of quantum mechanical methods to molecular problems are. This introduction to quantum mechanics is intended for undergraduate students of physics, chemistry, and engineering with some previous exposure to quantum ideas. Following in Heisenberg’s and Dirac’s footsteps, this book is centered on the concept of the quantum state as an embodiment of all experimentally available information about a.