Quantum Mechanics From Relational Properties, Part II: Measurement

Kayoko Awaya, 修三 小川

Rory O. Rice

This dissertation consists of two parts: Part I, Precision Measurements with a Ruby Laser; and Part II, A Quantum Mechanical Paradox.The two parts represent the results of two non-related areas of study by myself while a graduate student.My attention was directed primarily to a study of photographic emulsion blackening produced by high power laser pulses.At one point a prolonged equip ment failure halted progress in Part I.During this time I did the work described in Part II.The topic of Part II was suggested to me by my major professor, Dr. James D. Macomber, who ran across the problem while teaching a course.

Vincenzo Fano, Marco Sanchioni

Jianhao M. Yang

Christian DE RONDE

Niels Bohr introduced the concept of complementarity in order to give a general account of quantum mechanics, however he stressed that the idea of complementarity is related to the general difficulty in the formation of human ideas, inherent in the distinction between subject and object. The complementary descriptions approach is a framework for the interpretation of quantum mechanics, more specifically, it focuses in the development of the idea of complementarity and the concept of potentiality in the orthodox quantum formulation. In PART I of this article, we analyze the ideas of Bohr and present the principle of complementary description which takes into account Einstein's ontological position. We argue, in PART II, that this development allows a better understanding of some of the paradigmatic interpretational problems in quantum mechanics, such as the measurement problem and the quantum to classical limit. We conclude that one should further develop complementarity in order to elaborate a consistent worldview.

Hernán Gustavo Solari, Mario Alberto Natiello

In Part I we constructed the Quantum Mechanics of a charged unitary entity and prescribed the form in which such a particle interacts with other charged particles and matter in general. In this second part we extend the description to the hydrogen atom testing the correctness and accuracy of the general description. The relation between electron and proton in the atom is described systematically in a construction that is free from analogies or ad-hoc derivations and it supersedes conventional Quantum Mechanics (whose equations linked to measurements can be recovered). We briefly discuss why the concept of isolation built in Schrödinger's time evolution is not acceptable and how it immediately results in the well known measurement paradoxes of quantum mechanics. We also discuss the epistemic grounds of the development as well as those of conventional Quantum Mechanics.