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
CHAPTER XXIII - LIGHT QUANTA; DE BROGLIE WAVES; DIFFRACTION OF LIGHT QUANTA; THE COMPTON EFFECT
Published online by Cambridge University Press: 05 July 2011
- 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
Light quanta
The history of the corpuscular and wave controversy in optical theory is well known. At the end of the last century physicists had no doubt as to the wave character of light, and the acceptance of the wave theory meant the rejection of the corpuscular theory. The possibility of both being correct and helpful to one another had not been much thought about and still less explored.
At about this time Planck's quantum theory appeared and was soon followed in 1905 by Einstein's theory of ‘light quanta’ to explain the photo-electric effect, for which the wave theory alone had utterly failed to account. Einstein assumed that radiation exists in discrete ‘quanta’ of energy hν, where ν is the frequency; thus a quantum is a separate thing, like a corpuscle, and has a frequency associated with it, like a wave. There was a blend of the two older theories involved. This idea has been generalised by the speculations of Louis de Broglie, who pointed out the important clue given by the theory of relativity, namely, that of the identity of mass and energy, so that the conservation of mass is therefore also the conservation of energy. This suggested to him that all forms of energy (including radiation) should have an atomic structure, like matter; and that the atoms of energy are grouped round certain singular points, forming electrons, light quanta, and the like.
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- The New Quantum Mechanics , pp. 184 - 193Publisher: Cambridge University PressPrint publication year: 2009First published in: 1928