Overview

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. For this purpose, the text provides a comprehensive description of the factorization method and its wide applications in quantum mechanics which complements the traditional coverage found in quantum mechanics textbooks.

Full Product Details

Author:   Shi-Hai Dong
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2007 ed.
Volume:   150
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.629kg
ISBN:  

9781402057953

ISBN 10:   1402057954
Pages:   289
Publication Date:   09 February 2007
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

METHOD.- THEORY.- LIE ALGEBRAS SU(2) AND SU(1, 1).- APPLICATIONS IN NON-RELATIVISTIC QUANTUM MECHANICS.- HARMONIC OSCILLATOR.- INFINITELY DEEP SQUARE-WELL POTENTIAL.- MORSE POTENTIAL.- PÖSCHL-TELLER POTENTIAL.- PSEUDOHARMONIC OSCILLATOR.- ALGEBRAIC APPROACH TO AN ELECTRON IN A UNIFORM MAGNETIC FIELD.- RING-SHAPED NON-SPHERICAL OSCILLATOR.- GENERALIZED LAGUERRE FUNCTIONS.- NEW NONCENTRAL RING-SHAPED POTENTIAL.- PÖSCHL-TELLER LIKE POTENTIAL.- POSITION-DEPENDENT MASS SCHRÖDINGER EQUATION FOR A SINGULAR OSCILLATOR.- APPLICATIONS IN RELATIVISTIC QUANTUM MECHANICS.- SUSYQM AND SWKB APPROACH TO THE DIRAC EQUATION WITH A COULOMB POTENTIAL IN 2+1 DIMENSIONS.- REALIZATION OF DYNAMIC GROUP FOR THE DIRAC HYDROGEN-LIKE ATOM IN 2+1 DIMENSIONS.- ALGEBRAIC APPROACH TO KLEIN-GORDON EQUATION WITH THE HYDROGEN-LIKE ATOM IN 2+1 DIMENSIONS.- SUSYQM AND SWKB APPROACHES TO RELATIVISTIC DIRAC AND KLEIN-GORDON EQUATIONS WITH HYPERBOLIC POTENTIAL.- QUANTUM CONTROL.- CONTROLLABILITY OF QUANTUM SYSTEMS FOR THE MORSE AND PT POTENTIALS WITH DYNAMIC GROUP SU(2).- CONTROLLABILITY OF QUANTUM SYSTEM FOR THE PT-LIKE POTENTIAL WITH DYNAMIC GROUP SU(1, 1).- CONCLUSIONS AND OUTLOOKS.- CONCLUSIONS AND OUTLOOKS.

Reviews

From the reviews: An up-to-date organized account of material that can be addressed to an interdisciplinary graduate-level audience. ... Besides the elegance and the effectiveness in characterizing matrix-elements, a motivation for the algebraic approach also relies in the pedagogical expectation that beginners can be better driven to topics like coherent states and supersymmetric Quantum Mechanics. ... The book can be generally addressed to graduate students and young researchers in physics, theoretical chemistry, applied mathematics and electrical engineering ... . (Giulio Landolfi, Zentralblatt MATH, Vol. 1130 (8), 2008) The book under review is an interesting and useful collection of results which fall under the headings of 'factorization method', 'Darboux/Crum transformation', 'supersymmetric quantum mechanics', 'intertwining operator method' and 'shape invariance'. ... can be used by researchers in the field and by students of quantum mechanics. ... the overall impression of the book is that it is useful for a broad audience of physicists and mathematical physicists. (Marek Nowakowski, Mathematical Reviews, Issue 2008 k)

From the reviews: An up-to-date organized account of material that can be addressed to an interdisciplinary graduate-level audience. ! Besides the elegance and the effectiveness in characterizing matrix-elements, a motivation for the algebraic approach also relies in the pedagogical expectation that beginners can be better driven to topics like coherent states and supersymmetric Quantum Mechanics. ! The book can be generally addressed to graduate students and young researchers in physics, theoretical chemistry, applied mathematics and electrical engineering ! . (Giulio Landolfi, Zentralblatt MATH, Vol. 1130 (8), 2008) The book under review is an interesting and useful collection of results which fall under the headings of 'factorization method', 'Darboux/Crum transformation', 'supersymmetric quantum mechanics', 'intertwining operator method' and 'shape invariance'. ! can be used by researchers in the field and by students of quantum mechanics. ! the overall impression of the book is that it is useful for a broad audience of physicists and mathematical physicists. (Marek Nowakowski, Mathematical Reviews, Issue 2008 k)

From the reviews: <p> An up-to-date organized account of material that can be addressed to an interdisciplinary graduate-level audience. a ] Besides the elegance and the effectiveness in characterizing matrix-elements, a motivation for the algebraic approach also relies in the pedagogical expectation that beginners can be better driven to topics like coherent states and supersymmetric Quantum Mechanics. a ] The book can be generally addressed to graduate students and young researchers in physics, theoretical chemistry, applied mathematics and electrical engineering a ] . (Giulio Landolfi, Zentralblatt MATH, Vol. 1130 (8), 2008) <p> The book under review is an interesting and useful collection of results which fall under the headings of a ~factorization methoda (TM), a ~Darboux/Crum transformationa (TM), a ~supersymmetric quantum mechanicsa (TM), a ~intertwining operator methoda (TM) and a ~shape invariancea (TM). a ] can be used by researchers in the field and by students of quantum mechanics. a ] the overall impression of the book is that it is useful for a broad audience of physicists and mathematical physicists. (Marek Nowakowski, Mathematical Reviews, Issue 2008 k)

"From the reviews: ""An up-to-date organized account of material that can be addressed to an interdisciplinary graduate-level audience. … Besides the elegance and the effectiveness in characterizing matrix-elements, a motivation for the algebraic approach also relies in the pedagogical expectation that beginners can be better driven to topics like coherent states and supersymmetric Quantum Mechanics. … The book can be generally addressed to graduate students and young researchers in physics, theoretical chemistry, applied mathematics and electrical engineering … ."" (Giulio Landolfi, Zentralblatt MATH, Vol. 1130 (8), 2008) ""The book under review is an interesting and useful collection of results which fall under the headings of ‘factorization method’, ‘Darboux/Crum transformation’, ‘supersymmetric quantum mechanics’, ‘intertwining operator method’ and ‘shape invariance’. … can be used by researchers in the field and by students of quantum mechanics. … the overall impression of the book is that it is useful for a broad audience of physicists and mathematical physicists."" (Marek Nowakowski, Mathematical Reviews, Issue 2008 k)"

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