AN INTRODUCTION TO QUANTUM MECHANICS

Mark Linne

Gregory L. Naber

Alejandro Medina

THIS WORK CONTAINSAN ANALYSIS OF SOME OF THE FUNDAMENTAL PRINCIPLES UNDERLAYING THE CONSTRUTION OF OPERATORS IN QUANTUM MECHANICS. FACH OPERATOR IS ASSOCIATED TO A PROJECTION OPERATOR AND THESE PROJECTION OPERATORS ARE SHOWS TO FULFIL A SET OF PROPERTIES FORMALLY INDENTICAL TO THOSE OF A PROBABILITY FIELD.IT IS SHOWN THAT, BY THE INTRODUCTION OFA MEASURE IN CONFIGURATION SPACE IT IS POSSIBLE TO OBTAIN COMPLETE SETS OF COMMUTING OBSERVABLES HAVING, WITHIN LIMITS, PREASIGNED SPECTRA. THE INTRODUCTION OF NEW OPERATORS BY CONSIDERATION OF THE GROUPS EXPRESSING THE SYMMETRIES OF THE SYSTEM, IS DISCUSSED.

Mark Linne

J. C. Aron

In previous studies a physical model for the spin wave was proposed, and the relations of the scattering theory with the quantum mechanics of a particle without spin were studied. In the present work, the statistical ideas are introduced into the mechanics of particles with spin and the measure in which they permit the definition of the physical model is examined. (tr-auth)

M.A. Punyasena