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Factorization Method in Quantum Mechanics

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Cover of 'Factorization Method in Quantum Mechanics'

Table of Contents

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    Book Overview
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    Chapter 1 INTRODUCTION
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    Chapter 2 THEORY
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    Chapter 3 LIE ALGEBRAS SU(2) AND SU(1, 1)
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    Chapter 4 HARMONIC OSCILLATOR
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    Chapter 5 INFINITELY DEEP SQUARE-WELL POTENTIAL
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    Chapter 6 MORSE POTENTIAL
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    Chapter 7 PÖSCHL-TELLER POTENTIAL
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    Chapter 8 PSEUDOHARMONIC OSCILLATOR
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    Chapter 9 ALGEBRAIC APPROACH TO AN ELECTRON IN A UNIFORM MAGNETIC FIELD
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    Chapter 10 RING-SHAPED NON-SPHERICAL OSCILLATOR
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    Chapter 11 GENERALIZED LAGUERRE FUNCTIONS
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    Chapter 12 NEW NONCENTRAL RING-SHAPED POTENTIAL
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    Chapter 13 PÖSCHL-TELLER LIKE POTENTIAL
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    Chapter 14 POSITION-DEPENDENT MASS SCHRÖDINGER EQUATION FOR A SINGULAR OSCILLATOR
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    Chapter 15 SUSYQM AND SWKB APPROACH TO THE DIRAC EQUATION WITH A COULOMB POTENTIAL IN 2+1 DIMENSIONS
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    Chapter 16 REALIZATION OF DYNAMIC GROUP FOR THE DIRAC HYDROGEN-LIKE ATOM IN 2+1 DIMENSIONS
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    Chapter 17 ALGEBRAIC APPROACH TO KLEIN-GORDON EQUATION WITH THE HYDROGEN-LIKE ATOM IN 2+1 DIMENSIONS
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    Chapter 18 SUSYQM AND SWKB APPROACHES TO RELATIVISTIC DIRAC AND KLEIN-GORDON EQUATIONS WITH HYPERBOLIC POTENTIAL
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    Chapter 19 CONTROLLABILITY OF QUANTUM SYSTEMS FOR THE MORSE AND PT POTENTIALS WITH DYNAMIC GROUP SU(2)
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    Chapter 20 CONTROLLABILITY OF QUANTUM SYSTEM FOR THE PT-LIKE POTENTIAL WITH DYNAMIC GROUP SU(1, 1)
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    Chapter 21 CONCLUSIONS AND OUTLOOKS
Attention for Chapter 4: HARMONIC OSCILLATOR
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Chapter title
HARMONIC OSCILLATOR
Chapter number 4
Book title
Factorization Method in Quantum Mechanics
Published by
Springer, Dordrecht, January 2007
DOI 10.1007/978-1-4020-5796-0_4
Book ISBNs
978-1-4020-5795-3, 978-1-4020-5796-0
Authors

Shi-Hai Dong