No abstract
Paramagnetic resonance absorption of Mn ++ at 9300 Mc/sec has been studied using single crystals of CaCC>3 containing 0.06 wt. percent Mn ++ ions. The Mn ++ spectrum consists of 30 well-resolved lines approximately 3.5 gauss wide and extending over a range of 1100 gauss with a large dependence upon angular orientation between crystal axes and external magnetic field. The theory pertaining to the Mn ++ resonance absorption in the CaCC>3 crystal is developed and presented. The interpretation of the observed, spectra is based upon crystalline field effects plus nuclear hyperfine interaction. The spectroscopic g factor is found to be essentially isotropic. The hyperfine structure factors A', and B' are found to be nearly equal.,The fine structure constants D' and d' are determined. The values assigned are: g" = 2.0022, £,.=2.0014, A' = 8.782X10" 3 cm" 1 , Z> , =3.75Xl0-3 cm~1, d' = 4.00X10-6 cm" 1 , 3' = 8.774X10-3 cm" 1 ."..Small discrepancies between theory and experiment are found, as well as unexpected and unexplained line-splittings at certain angular orientations.
“Anything that is not forbidden is compulsory,” says Murray Gell-Mann's half-facetious totalitarian principle. What then about faster-than-light particles called “tachyons”? In their May article Olexa-Myron Bilaniuk and E. C. George Sudarshan argued that valid solutions of Albert Einstein's relativity equations describe such particles. Thus if Einstein's equations are accurate descriptions of the physical universe and if solutions not forbidden are compulsory, tachyons must exist.
Chapter 1 / Fundamental Outlook Chapter 2 / On the Comparison of the Quantum and Relativity Theories 2.1. Competing Concepts 2.2. Is the Quantum Jump Compatible with the Theory of Relativity? 2.3. Is the Theory of Relativity Complete as a Theory of Matter? 2.4. The Einstein-Podolsky,.....Rosen Paradox 2.4.1. Bohr's Reply to Einstein, Podolsky and Rosen 2.5. The Hidden Variable Approach 2.6. Bell's Inequalities and General Relativity 2.6.1. The State Vector and Bell's Inequalities Chapter 3 / Basis of a Matter Field Theory of Inertia -a Generalization of Quantum Mechanics 3.1. The General Mathematical Structure and Philosophical Implications 3.1.1. The Symmetry Group from Axiom 1 and Fundamental Field Variables 3.1.2. The Generalized Mach Principle 3.2. The Conservation of Interaction 3.3. Determinism 51 Chapter 4 / A Covariant Field Theory of Inertia 4.1. On the Origin of Inertial Mass 4.2. The Spinor Formalism in Special Relativity vii viii Contents 4.3. The Spinor Variables in General Relativity 4.4. The Spinor Matter Field Equations in General Relativity 4.4.1. Gauge Invariance 4.4.2. Electromagnetic Coupling 4.5. Matter and Antimatter 4.5.1. Proof of Force Symmetry of Matter and Antimatter 4.6. On the Quantization of Electrical Charge from General Relativity 4.7. Conclusions Chapter 5 / The Electromagnetic Interaction 5.1. On the Meaning of the Electromagnetic Field Equations 5.2. Generalization of the Elementary Interaction Formalism 5.3. A Spinor Formulation of Electromagnetism 5.3.1. Invariants and Conservation Equations 5.4. The Interaction Lagrangian 5.4.1. The Electromagnetic Four-Potential Chapter 6 / Quantum Mechanics from the Matter Field Equations and Derivation of the Pauli Exclusion Principle 6.1. Approximations to Quantum Mechanics 6.1.1. The Free Field Limit 6.1.2. Coupling to an External Potential 6.2. The Pauli Exclusion Principle -a Derivation 6.2.1. Sufficiency of the Three Conditions for Proof of the Pauli Principle 6.2.2. Fermi-Dirac Statistics from the Nonrelativistic Approximation for'll 99 6.3. The Hartree Approximation for the Matter Field Equations 101 6.3.1. Another Approximation for the Many-Electron Atom 103 6.4. Scattering Cross Section 104 Chapter 7 / The Particle-Antiparticle Pair without Annihilation Creation 108 7.1. The Field Equations for the Particle-Antiparticle Pair 109 7.2. An Exact Bound State Solution for the Particle-Antiparticle Pror 112 7.3. The Energy and Momentum of the Bound Particle-Antiparticle in its Ground State 115 7.4. The Free Particle Limit and Pair Creation 118 7.5. The Continuity of Energy Values 119 7.5.1. Rejection of the Photon Model in 'Pair Annihilation'
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