Download Quantum theory of optical coherence : selected papers and by Roy J. Glauber PDF
By Roy J. Glauber
"Quantum thought of Optical Coherence is a compilation of Roy J. Glauber's most famed and groundbreaking articles and lectures, between them his well-known lectures held on the Les Houches summer season tuition in 1964 on 'Optical Coherence and Photon Statistics', which has been a milestone for destiny generations of scholars and researchers during this box. The publication is meant not just as a reference for specialists, yet also Read more...
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Additional info for Quantum theory of optical coherence : selected papers and lectures
Example text
Its purpose is simply to formulate some useful ways of classifying the statistical behaviour of fields. The problem to which we shall address ourselves in this article is the construction of a fairly rigorous and general treatment of the problems of photon statistics. There is no need, in doing it, to make any material distinction between radio frequency and optical fields (or between these and X-ray fields for that matter). A part of the formalism, that which has to do with the definition of coherence, is suggested in fact as a way of unifying the rather different concepts of coherence, which have characterized these areas in the past.
The triad of eigenvectors at a point in an arbitrary field depends, in general, on time as well as position. If the density operator, ρ, represents a stationary ensemble, however, the triad becomes fixed. A particular example which has been studied in minute detail in optics is that of a beam of plane waves[5,9] . In that case, since the fields are transverse, one of the eigenvectors may be chosen as the beam direction and obviously corresponds to the eigenvalue zero. The net polarization of the beam is usually defined as the magnitude of the difference of the normalized intensities, |I1 − I2 |, which correspond to the remaining two eigenvalues.
When we must deal with quantum states of the electromagnetic field for which the phase of the field is well defined, they can likewise only be states in which the occupation number n is intrinsically rather indefinite. In such cases the description of expectation values in terms of the n-quantum states becomes rather awkward and untransparent. One of the mathematical tools we shall use in this article is a set of quantum states rather better suited to the description of amplitude and phase variables than the nquantum states.