THE ELEMENTS: SPECULATIONS AS TO THEIR NATURE AND ORIGIN

By SOPHIA RODRIGUEZ

CONTENTS INTRODUCTION SYMMETRIES OF A QUANTUM SYSTEM 11 ROTATION GROUP IN QUANTUM MECHANICS 12 ELECTRON IN THE COULOMB FIELD 13 BROKEN SYMMETRY OBSERVABLES OF A QUANTUM SYSTEM 21 DERIVING OBSERVABLES FROM A SYMMETRY GROUP 22 QUANTUM NUMBERS OF SYMMETRY GROUPS AND THEIR PHYSICAL MEANING LIE GROUPS AND LIE ALGEBRAS 31 LIE GROUPS 32 LIE ALGEBRAS 33 REPRESENTATIONS OF LIE GROUPS 34 UNIVERSAL ENVELOPING ALGEBRAS AND CASIMIR OPERATORS 35 TENSOR PRODUCT OF REPRESENTATIONS THE PRINCIPLES OF PARTICLE CLASSIFICATION 41 THE CONCEPT OF SPIN 42 ISOTOPIC SPIN 43 SU(3) GROUP 44 BARYON OCTET AND DECUPLET 45 MASS FORMULA IN THE SU(3) SYMMETRY 46 SU(6) GROUP 47 CLASSIFICATION PRINCIPLES IN A QUANTUM THEORY THE SYMMETRY GROUP OF CHEMICAL ELEMENTS 51 DESCRIPTION OF THE SYSTEM OF ELEMENTS 52 THE CONFORMAL GROUP 53 A SPECIAL REPRESENTATION OF THE CONFORMAL GROUP 54 THE SYMMETRY GROUP OF THE SYSTEM OF ELEMENTS 55 MASS FORMULA FOR ATOMIC WEIGHTS CLASSIFICATION AND CHEMICAL PROPERTIES OF ELEMENTS 61 SMALL MULTIPLETS AND CHEMICAL PROPERTIES 62 OPERATORS OF CHEMICAL AFFINITY