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Quantum Optics for Engineers by F.J. Duarte

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17

Entangled Polarizations: Probability Amplitudes and Experimental Configurations

17.1  Introduction

In this chapter we derive the ubiquitous equation for the probability amplitude of polarization entanglement of two photons moving away in different directions, from a common source. The first derivation is performed from a Hamiltonian approach using the two-state infrastructure taught to us by Feynman. The second derivation utilizes an interferometric approach, while the third approach is based on the original analysis used by Ward (1949). All these approaches rely on the Dirac notation, exclusively.

17.2  Hamiltonian Approach

First, we review some of the relevant notation: following Feynman (Feynman et al., 1965) in the treatment of ...

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