Operators for observables in quantum optics

Grigori Gennadievich Amosov, Ya. A. Korennoy, Vladimir I. Man’ko

Explicit expressions for most interesting quantum observable operators in optical tomography representation are found. A general formalism of the symbols of the operators is presented in the optical tomography representation. The symbols of the operators in the form of singular and regular generalized functions are found, and suggestions for their use in experimental data processing in quantum tomography are given.

I. A. Deryugin, A. A. Vishenskii, Vitaliy N. Kurashov

Berthold‐Georg Englert, Krzysztof Wódkiewicz

The concept of intrinsic and operational observables in quantum mechanics is introduced. In any realistic description of a quantum measurement that includes a macroscopic detecting device, it is possible to construct from the statistics of the recorded raw data a set of operational quantities that correspond to the intrinsic quantum-mechanical observable. This general approach is illustrated by the example of an operational measurement of the position and the momentum of a particle, as well as by an analysis of the operational detection of the phase of an optical field. For the latter we identify the intrinsic phase operator and report its explicit form.

Masashi Ban

Ravinder Rupchand Puri

John R. Klauder, Ludwig Streit

The optical equivalence theorem relating c-number and q-number formulations of quantum optics is rigorously extended to cover various unbounded operators, and in particular those operators that directly yield counting rates.