2 edition of **Application of the factorization method to problems of quantum mechanics** found in the catalog.

Application of the factorization method to problems of quantum mechanics

H. R. Coish

- 115 Want to read
- 16 Currently reading

Published
**1946**
by s.n.] in [Toronto
.

Written in English

**Edition Notes**

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

Statement | H. R. Coish. |

ID Numbers | |
---|---|

Open Library | OL14848936M |

Problems in Quantum Mechanics, G.L. Squires, (Cambridge University Press, Cambridge UK, ). The second part of this course describes selected practical applications of quantum mechanics. In Chap time-independent perturbation theory is used to investigate the Chapter 14 illustrates the use of variational methods in quantum. Mathematical Methods in Quantum Mechanics With Applications to Schr odinger Operators Gerald Teschl Note: The AMS has granted the permission to post this online edition! This version is for personal online use only! If you like this book and want to support the idea of online versions, please consider buying this book:

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 presented Author: Valerio Magnasco. 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 Author: Valerio Magnasco.

This book introduces the most important aspects of quantum mechanics in the simplest way possible, but challenging aspects which are essential for a meaningful understanding have not been evaded. It is an introduction to quantum mechanics which. motivates the fundamental postulates of quantum mechanics by considering. This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and.

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This Work introduces the factorization method in quantum mechanics at an advanced level with an aim to put mathematical and physical concepts and techniques like the factorization method, Lie algebras, matrix elements and quantum control at the Reader’s disposal. For this purpose a comprehensive description is provided of the factorization method and its wide applications in Cited by: Factorization method in quantum mechanics Gerhard Jank.

Clifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields. This volume contains the lectures given at the Fourth Conference on Clifford Algebras and their Applications in Mathematical Physics, held at RWTH Aachen in May. 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.

Application of the Nikiforov-Uvarov Method in Quantum Mechanics 6 Will-be-set-by-IN-TECH and then Eq.(23) has a particular solution of the form y (s)= y n (s) which is a polynomial of. Abstract. Starting from the Hartree–Fock theory developed in Chapter 3, relationship has been developed between the approximate quantum chemical methods based on zero-differential overlap approximation and the ab initio methods.

While the focus in this chapter is on some of the more popular methods developed in the research groups of Pople, such as complete neglect of differential overlap. An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book.

Various concepts have been derived from first. Quantum Mechanics - An Introduction lays the foundations for the rest of the course on quantum mechanics, advanced quantum mechanics, and field theory. Starting from black-body radiation, the photoelectric effect, and wave-particle duality, Greiner goes on to discuss the uncertainty relations, spin, and many-body systems; he includes applications to the hydrogen atom and the 4/5(1).

tween the concept of perturbative quantum ﬁeld theory as developed inCostello (b) and the theory of factorization algebras.

The motivating example of quantum mechanics The model problems of classical and quantum mechanics involve a particle moving in some Euclidean space Rn under the inﬂuence of some ﬁxed ﬁeld.

Our. Newtonian mechanics took the Apollo astronauts to the moon. It also took the voyager spacecraft to the far reaches of the solar system. However Newto-nian mechanics is a consequence of a more general scheme. One that brought us quantum mechanics, and thus the digital age.

Indeed it has pointed us beyond that as well. Time Dependence and Conservation Laws in Quantum Mechanics Questions and Problems CHAPTER 14 Operator and Factorization Methods for the Schrödinger Equation Factorization Methods Factorization of the Harmonic Oscillator Creation and Annihilation Operators Factorization Methods and.books on supersymmetric classical and quantum mechanics emphasizing diﬀerent approach and applications of the theory [6].

Fernandez et al. have considered the connection between factorization method and gen-eration of solvable potentials [9]. The SUSY algebra in quantum mechanics initiated with the work of Nicolai [10] and elegantly.New exactly solvable problems have already been studied by using a modification of the factorization method introduced by Mielnik.

We review this method and its connection with the traditional factorization method. The survey includes the discussion on a generalization of the factorization energies used in the traditional Infeld and Hull method.