Mucchi Editore

Contents

Introduction

HISTORY, WAVE-PARTICLE DUALITY AND THREE EXPERIMENTS

HISTORY

The dual nature of light

Lichtquanten

The optico-mechanical analogy

Wave mechanics

CONFIGURATION SPACE

WAVES AND TRAJECTORIES

The reality of de Broglie's waves

Trajectories

Wave-particle duality

EXPERIMENTS

Electron interferometry

Janossy and Naray

"An experiment to throw more light on light"

INTERFERENCE AND INCOMPATIBILITY

THE RIEMANN SPHERE

One basis

Another basis

Kaons

INFINITE DIMENSIONS

One decomposition

Telling states apart

Another decomposition

COMPOSITE SYSTEMS: INTERFERENCE, ADDITIVE CONSERVATION

INTERFERENCE IN CONFIGURATION SPACE

Entangled states

Sensitive observables

Compatibility and indifference

ADDITIVE CONSERVATION: EPR AND GENERALIZATIONS

Schmidt's theorem

"Can quantum-mechanical description of reality be considered complete?"

Additive conserved quantities

Beyond additive conservation

EXAMPLES: INTERFERENCE AND ADDITIVE CONSERVATION

BELL

Spin-half

Bell's observable

Bell's inequality

MEASUREMENT

Von Neumann's theory of measurement

The theorem of Wigner, Araki and Yanase

Schrodinger's oscillating cat

SEPARATION

INTERPRETATIONS OF QUANTUM WAVES IN CONFIGURATION SPACE

FURRY'S HYPOTHESIS

EXPERIMENTS WITH CORRELATED PARTICLES

PHOTONS

Preliminaries

Weak inequalities

Strong inequalities for one-way polarizers

Strong inequalities for two-way polarizers

KAONS

Bell's inequality

Time evolution

Bell's inequality again

Decay

Assumptions

Selleri's inequalities

Bibliography