Book contents
- Frontmatter
- PREFACE
- Contents
- CHAPTER I THE ORIGIN AND DEVELOPMENT OF THE NEW QUANTUM MECHANICS
- CHAPTER II THE MULTIPLETS OF SERIES SPECTRA AND THE l-s-j SCHEME OF LANDÉ
- CHAPTER III THE NORMAL AND ANOMALOUS ZEEMAN EFFECT; THE LANDÉ g-FORMULA
- CHAPTER IV ATOMIC MAGNETISM; THE BOHR MAGNETON; THE STERN-GERLACH EXPERIMENT; MAGNETISM AND TEMPERATURE; THE MAGNETO-MECHANICAL EFFECT
- CHAPTER V INTERPRETATION OF THE g-FORMULA; THE PAULI VERBOT; THE SPINNING ELECTRON; SPIN DOUBLETS
- CHAPTER VI X-RAY SPECTRA AND THEIR MULTIPLET THEORY ON THE NEW MECHANICS; SCREENING AND SPIN DOUBLETS
- CHAPTER VII THE PASCHEN-BACK EFFECT AND THE SOMMERFELD FORMULA; LANDÉ'S FORMULA FOR THE MAGNITUDE OF THE ALKALI DOUBLETS; THE TRIPLETS OF THE ALKALINE EARTHS
- CHAPTER VIII THE NEW QUANTUM KINEMATICS OF HEISENBERG; MATRICES AND NON-COMMUTATIVE MULTIPLICATION
- CHAPTER IX THE THEORY OF DIRAC; USE OF POISSON BRACKETS; THE ENERGY LAW AND BOHR'S FREQUENCY CONDITION
- CHAPTER X THE HARMONIC OSCILLATOR
- CHAPTER XI THE CANONICAL TRANSFORMATION; PERTURBATION THEORY FOR NON-DEGENERATE AND DEGENERATE SYSTEMS
- CHAPTER XII THE ANHARMONIC OSCILLATOR; INTENSITIES OF SPECTRAL LINES; MATRICES AND QUADRATIC FORMS
- CHAPTER XIII ANGULAR MOMENTUM RELATIONS; SELECTION AND POLARISATION RULES
- CHAPTER XIV THE THEORY OF THE LANDÉ NUMBERS m, l, j
- CHAPTER XV INTENSITY FORMULAE FOR THE ZEEMAN EFFECT
- CHAPTER XVI THE DIRAC-PAULI CALCULATIONS FOR HYDROGEN; OPERATOR THEORIES; SCHRÖDINGER's THEORY
- CHAPTER XVII SCHRÖDINGER'S WAVE EQUATION; HIS THEORY OF THE HYDROGEN SPECTRUM
- CHAPTER XVIII WAVE MECHANICS
- CHAPTER XIX SCHRÖDINGER'S THEORY OF THE OSCILLATOR AND ROTATOR; WAVE PACKETS
- CHAPTER XX THE EVALUATION OF THE HEISENBERG MATRICES BY THE USE OF THE SCHRÖDINGER CALCULUS; DIRAC's EXTENSION OF HIS THEORY TO RELATIVISTIC MECHANICS
- CHAPTER XXI PERTURBATION THEORY IN WAVE MECHANICS; THE INTENSITIES IN THE STARK EFFECT
- CHAPTER XXII SCHRÖDINGER'S DISPERSION THEORY
- CHAPTER XXIII LIGHT QUANTA; DE BROGLIE WAVES; DIFFRACTION OF LIGHT QUANTA; THE COMPTON EFFECT
- CHAPTER XXIV THE THEORY OF THE ANOMALOUS ZEEMAN EFFECT ON THE NEW MECHANICS
- CHAPTER XXV THE CALCULATION OF THE ZEEMAN INTENSITIES FOR THE D-DOUBLET OF THE ALKALIS; DEDUCTION OF THE LANDÉ g AND γ FORMULAE; THE FINE STRUCTURE DUE TO RELATIVITY AND SPIN; THE RELATION OF THE SPINNING ELECTRON TO WAVE MECHANICS
- CHAPTER XXVI HEISENBERG'S RESONANCE THEORY OF THE ORTHO AND PARA HELIUM SPECTRA
- CHAPTER XXVII THE EFFECT OF THE SPIN OF THE ELECTRONS UPON THE HELIUM SPECTRUM; THE CALCULATIONS OF HEISENBERG FOR HELIUM; SYMMETRIC AND ANTISYMMETRIC EIGENFUNCTIONS
- CHAPTER XXVIII THE NEW STATISTICS OF GASES AND RADIATION; THE BOSE STATISTICS FOR LIGHT QUANTA; THE EINSTEIN THEORY OF AN IDEAL GAS
- CHAPTER XXIX THE FERMI-DIRAC THEORY OF AN IDEAL GAS; JORDAN'S FORMULAE FOR COLLISIONS OF LIGHT QUANTA, PROTONS AND ELECTRONS
- CHAPTER XXX DIRAC'S THEORY
- CHAPTER XXXI THE DIRAC MATRIX TRANSFORMATION THEORY; DEDUCTION OF SCHRÖDINGER'S WAVE EQUATION; GENERALISED FORM OF THE WAVE EQUATION; PHYSICAL INTERPRETATION OF q-NUMBERS; INTRODUCTION OF PROBABILITIES; APPLICATION TO COLLISION PROBLEMS
- CHAPTER XXXII THE ESSENTIAL INDEFINITENESS OF QUANTUM MECHANICS; HEISENBERG'S PHILOSOPHY AND BOHR'S DE BROGLIE WAVE THEORY OF THE PASSAGE FROM MICRO- TO MACRO-MECHANICS; THE SPREADING FACTOR; BOHR'S SUMMARY OF THE PRESENT STATE OF THE QUANTUM THEORY
- INDEX OF AUTHORS
Book contents
- Frontmatter
- PREFACE
- Contents
- CHAPTER I THE ORIGIN AND DEVELOPMENT OF THE NEW QUANTUM MECHANICS
- CHAPTER II THE MULTIPLETS OF SERIES SPECTRA AND THE l-s-j SCHEME OF LANDÉ
- CHAPTER III THE NORMAL AND ANOMALOUS ZEEMAN EFFECT; THE LANDÉ g-FORMULA
- CHAPTER IV ATOMIC MAGNETISM; THE BOHR MAGNETON; THE STERN-GERLACH EXPERIMENT; MAGNETISM AND TEMPERATURE; THE MAGNETO-MECHANICAL EFFECT
- CHAPTER V INTERPRETATION OF THE g-FORMULA; THE PAULI VERBOT; THE SPINNING ELECTRON; SPIN DOUBLETS
- CHAPTER VI X-RAY SPECTRA AND THEIR MULTIPLET THEORY ON THE NEW MECHANICS; SCREENING AND SPIN DOUBLETS
- CHAPTER VII THE PASCHEN-BACK EFFECT AND THE SOMMERFELD FORMULA; LANDÉ'S FORMULA FOR THE MAGNITUDE OF THE ALKALI DOUBLETS; THE TRIPLETS OF THE ALKALINE EARTHS
- CHAPTER VIII THE NEW QUANTUM KINEMATICS OF HEISENBERG; MATRICES AND NON-COMMUTATIVE MULTIPLICATION
- CHAPTER IX THE THEORY OF DIRAC; USE OF POISSON BRACKETS; THE ENERGY LAW AND BOHR'S FREQUENCY CONDITION
- CHAPTER X THE HARMONIC OSCILLATOR
- CHAPTER XI THE CANONICAL TRANSFORMATION; PERTURBATION THEORY FOR NON-DEGENERATE AND DEGENERATE SYSTEMS
- CHAPTER XII THE ANHARMONIC OSCILLATOR; INTENSITIES OF SPECTRAL LINES; MATRICES AND QUADRATIC FORMS
- CHAPTER XIII ANGULAR MOMENTUM RELATIONS; SELECTION AND POLARISATION RULES
- CHAPTER XIV THE THEORY OF THE LANDÉ NUMBERS m, l, j
- CHAPTER XV INTENSITY FORMULAE FOR THE ZEEMAN EFFECT
- CHAPTER XVI THE DIRAC-PAULI CALCULATIONS FOR HYDROGEN; OPERATOR THEORIES; SCHRÖDINGER's THEORY
- CHAPTER XVII SCHRÖDINGER'S WAVE EQUATION; HIS THEORY OF THE HYDROGEN SPECTRUM
- CHAPTER XVIII WAVE MECHANICS
- CHAPTER XIX SCHRÖDINGER'S THEORY OF THE OSCILLATOR AND ROTATOR; WAVE PACKETS
- CHAPTER XX THE EVALUATION OF THE HEISENBERG MATRICES BY THE USE OF THE SCHRÖDINGER CALCULUS; DIRAC's EXTENSION OF HIS THEORY TO RELATIVISTIC MECHANICS
- CHAPTER XXI PERTURBATION THEORY IN WAVE MECHANICS; THE INTENSITIES IN THE STARK EFFECT
- CHAPTER XXII SCHRÖDINGER'S DISPERSION THEORY
- CHAPTER XXIII LIGHT QUANTA; DE BROGLIE WAVES; DIFFRACTION OF LIGHT QUANTA; THE COMPTON EFFECT
- CHAPTER XXIV THE THEORY OF THE ANOMALOUS ZEEMAN EFFECT ON THE NEW MECHANICS
- CHAPTER XXV THE CALCULATION OF THE ZEEMAN INTENSITIES FOR THE D-DOUBLET OF THE ALKALIS; DEDUCTION OF THE LANDÉ g AND γ FORMULAE; THE FINE STRUCTURE DUE TO RELATIVITY AND SPIN; THE RELATION OF THE SPINNING ELECTRON TO WAVE MECHANICS
- CHAPTER XXVI HEISENBERG'S RESONANCE THEORY OF THE ORTHO AND PARA HELIUM SPECTRA
- CHAPTER XXVII THE EFFECT OF THE SPIN OF THE ELECTRONS UPON THE HELIUM SPECTRUM; THE CALCULATIONS OF HEISENBERG FOR HELIUM; SYMMETRIC AND ANTISYMMETRIC EIGENFUNCTIONS
- CHAPTER XXVIII THE NEW STATISTICS OF GASES AND RADIATION; THE BOSE STATISTICS FOR LIGHT QUANTA; THE EINSTEIN THEORY OF AN IDEAL GAS
- CHAPTER XXIX THE FERMI-DIRAC THEORY OF AN IDEAL GAS; JORDAN'S FORMULAE FOR COLLISIONS OF LIGHT QUANTA, PROTONS AND ELECTRONS
- CHAPTER XXX DIRAC'S THEORY
- CHAPTER XXXI THE DIRAC MATRIX TRANSFORMATION THEORY; DEDUCTION OF SCHRÖDINGER'S WAVE EQUATION; GENERALISED FORM OF THE WAVE EQUATION; PHYSICAL INTERPRETATION OF q-NUMBERS; INTRODUCTION OF PROBABILITIES; APPLICATION TO COLLISION PROBLEMS
- CHAPTER XXXII THE ESSENTIAL INDEFINITENESS OF QUANTUM MECHANICS; HEISENBERG'S PHILOSOPHY AND BOHR'S DE BROGLIE WAVE THEORY OF THE PASSAGE FROM MICRO- TO MACRO-MECHANICS; THE SPREADING FACTOR; BOHR'S SUMMARY OF THE PRESENT STATE OF THE QUANTUM THEORY
- INDEX OF AUTHORS
Summary
This book is concerned with the development of quantum mechanics during the past two years. A detailed account is given of the matrix theory of Heisenberg, Born and Jordan, the g-number theory of Dirac, and the wave mechanics of Schrodinger. The earlier chapters are devoted to a restatement of the Lands' theory of the multiplets in a form which is in consonance with the new mechanics which is to follow; some later chapters are given up to the de Broglie theory of particles and their waves, and to the new statistics of Bose, Einstein, Fermi and Dirac.
The book closes with the resonance theory of the helium spectrum lately given by Heisenberg, and with the new speculations of Bohr on the limitations imposed by the quantum theory upon the possibilities of experimental observation.
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- The New Quantum Mechanics , pp. v - viPublisher: Cambridge University PressPrint publication year: 2009First published in: 1928
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