Quantum Structures: An Introduction

L.A. Lugiato, A. Gatti, K.I. Petsas

Pushkin P.E. Kachroo

This thesis provides an introduction to the concepts of soundness and completeness in the context of quantum logic. As quantum logic is based on a lattice and not Boolean logic as is the case of classical logic, its meta analysis is very different. This thesis is devoted to studying the differences that this structure provides. In terms of quatum computation, the thesis provides an introduction to decidability as it is used in classical computation theory using Turing machines and then presents a comparison to quantum computation structure. The aim of the thesis is to present the existing basic structures of classical and quantum logic, as well as classical and quantum computation that will enable the development of the technical connections between the two in terms of specific models and finally to their relationship to classical and quantum complexity.

L. A. Lugiato, A. Gatti, K.I. Petsas

P. Anthony Cox

Introduction to Quantum Theory and Atomic Structure envelops the basic concepts needed as background for this topic, and discusses atomic structure but not molecular applications. The first two chapters are concerned with the basic ideas and problems of wave-particle duality, the nature of wavefunction, and its statistical interpretation. Chapter 3 discusses some important applications of Schrödinger's equation to chemically relevant situations. Chapters 4 and 5 deal respectively with the hydrogen atom, and with the structure of many-electron atoms and the periodic table of elements. The emphasis throughout is on the physical concepts and their concrete application.

Enrico G. Beltrametti

Diederik Aerts, Jarosław Pykacz