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1. |
Record Nr. |
UNINA9910779078403321 |
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Autore |
Hirshfeld Allen C |
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Titolo |
The supersymmetric Dirac equation [[electronic resource] ] : the application to hydrogenic atoms / / Allen Hirshfeld |
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Pubbl/distr/stampa |
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London, : Imperial College Press |
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Singapore ; ; Hackensack, NJ, : Distributed by World Scientific, c2012 |
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ISBN |
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Descrizione fisica |
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1 online resource (216 p.) |
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Disciplina |
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Soggetti |
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Dirac equation |
Supersymmetry |
Quantum field theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Preface; Contents; List of Figures; 1. Introduction; 2. The Classical Kepler Problem; 2.1 Central Forces; 2.2 The Laplace Vector; 3. Symmetry of the Classical Problem; 3.1 Lie Groups and Lie Algebras; 3.2 Some Special Lie Algebras; 3.3 Poisson Brackets; 3.4 The Inverse Square Law; 4. From Solar Systems to Atoms; 4.1 Rutherford Scattering; 4.2 Conservation of the Laplace Vector; 4.3 The Differential Cross Section; 5. The Bohr Model; 5.1 Spectroscopic Series; 5.2 The Postulates of the Model; 5.3 The Predictions of the Model; 5.4 Correction for Finite Nuclear Mass |
6. Interpretation of the Quantum Rules6.1 The Sommerfeld-Wilson Quantization Conditions; 6.2 de Broglie's Wave Interpretation; 7. Sommerfeld's Model for Non-Relativistic Electrons; 7.1 Assumptions of the Model; 7.2 Results of the Model for Non-Relativistic Hydrogen Atoms; 7.3 The Eccentricity; 8. Quantum Mechanics of Hydrogenic Atoms; 8.1 Quantization; 8.2 Quantum Mechanical Relation Between |A| and L; 8.3 Pauli's Hydrogenic Realization of so(4); 8.4 so(4) and the Spectrum of Hydrogenic Atoms; 9. The Schrödinger Equation and the Confluent Hypergeometric Functions |
12. Sommerfeld's Derivation of the Relativistic Energy Level Formula12. |
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1 Assumptions of the Model; 12.2 The Energies of the Bound States; 13. The Dirac Equation; 13.1 The Hamiltonian; 13.2 Total Angular Momentum; 13.3 The Dirac Operator; 13.4 A Complete Set of Mutually Commuting Operators; 13.5 The Dirac Spinors; 13.6 The Radial Equations in Polar Coordinates; 14. The Primary Supersymmetry of the Dirac Equation; 14.1 A Derivation of the Johnson-Lippmann Operator; 14.2 Commutation and Anticommutation Relations of the Johnson-Lippmann Operator; 14.3 Eccentricity |
17.2 Eigenfunctions of the Operators G and |
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Sommario/riassunto |
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The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by supersymmetry. It is shown that each of the concepts has its analogue in the non-relativistic case. Indeed, the non-relativistic case is developed first, in order to introduce the new concepts in a familiar context. The symmetry of the non-relativistic model is already present in the classical limit, so the classical Kepler problem is first discussed in order to bring out the role played by the Laplace vector, one of the central concepts of the whole book. |
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2. |
Record Nr. |
UNINA9910798049303321 |
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Autore |
Graña Mari |
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Titolo |
Dr. Martha : the life of a pioneer physician, politician, and polygamist / / Mari Graña |
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Pubbl/distr/stampa |
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Guilford, Connecticut ; ; Helena, Montana : , : TwoDot, , 2015 |
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©2015 |
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ISBN |
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Edizione |
[Paperback edition.] |
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Descrizione fisica |
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1 online resource (193 p.) |
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Disciplina |
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Soggetti |
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Latter Day Saints - Utah |
Physicians - Utah |
Polygamy - Utah |
Biographies. |
Utah Biography |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction; CHAPTER 1; CHAPTER 2; CHAPTER 3; CHAPTER 4; CHAPTER 5; CHAPTER 6; CHAPTER 7; CHAPTER 8; CHAPTER 9; CHAPTER 10; CHAPTER 11; CHAPTER 12; CHAPTER 13; CHAPTER 14; Chronology of Events; Notes; Bibliography; Index; About the Author |
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Sommario/riassunto |
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Dr. Martha tells the fascinating story of Martha Hughes Cannon, the first woman elected to the Utah state senate-in 1896. |
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3. |
Record Nr. |
UNINA9910155397103321 |
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Autore |
Raymond Nicolas |
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Titolo |
Bound States of the Magnetic Schrödinger Operator / / Nicolas Raymond |
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Pubbl/distr/stampa |
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Zuerich, Switzerland, : European Mathematical Society Publishing House, 2017 |
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ISBN |
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Descrizione fisica |
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1 online resource (394 pages) |
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Collana |
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EMS Tracts in Mathematics (ETM) ; 27 |
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Classificazione |
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Soggetti |
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Differential equations |
Mathematical logic |
Partial differential equations |
Calculus of variations and optimal control; optimization |
Quantum theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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This book is a synthesis of recent advances in the spectral theory of the magnetic Schrödinger operator. It can be considered a catalog of concrete examples of magnetic spectral asymptotics. Since the presentation involves many notions of spectral theory and semiclassical analysis, it begins with a concise account of concepts and methods used in the book and is illustrated by many elementary examples. Assuming various points of view (power series expansions, Feshbach- |
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Grushin reductions, WKB constructions, coherent states decompositions, normal forms) a theory of Magnetic Harmonic Approximation is then established which allows, in particular, accurate descriptions of the magnetic eigenvalues and eigenfunctions. Some parts of this theory, such as those related to spectral reductions or waveguides, are still accessible to advanced students while others (e.g., the discussion of the Birkhoff normal form and its spectral consequences, or the results related to boundary magnetic wells in dimension three) are intended for seasoned researchers. |
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