Email this article Probability Representation of Photon States and Tomography†
- Authors: Chernega V.N.1, Man’ko O.V.1,2, Man’ko V.I.1,3,4,5
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Affiliations:
- Lebedev Physical Institute, Russian Academy of Sciences
- Bauman Moscow State Technical University
- Moscow Institute of Physics and Technology (State University)
- Russian Quantum Center
- Department of Physics, Tomsk State University
- Issue: Vol 40, No 6 (2019)
- Pages: 503-514
- Section: Article
- URL: https://journal-vniispk.ru/1071-2836/article/view/248840
- DOI: https://doi.org/10.1007/s10946-019-09831-2
- ID: 248840
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Abstract
We give a review of the tomographic probability representation of quantum mechanics. We present the formalism of quantum states and quantum observables using the formalism of standard probability distributions and classical-like random variables. We study the coherent and number states of photons in the probability representation and obtain the evolution equation and energy spectra in the form of equations for probability distributions.
About the authors
Vladimir N. Chernega
Lebedev Physical Institute, Russian Academy of Sciences
Email: mankovi@lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991
Olga V. Man’ko
Lebedev Physical Institute, Russian Academy of Sciences; Bauman Moscow State Technical University
Email: mankovi@lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; The 2nd Baumanskaya Str. 5, Moscow, 105005
Vladimir I. Man’ko
Lebedev Physical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University); Russian Quantum Center; Department of Physics, Tomsk State University
Author for correspondence.
Email: mankovi@lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700; Skolkovo, Moscow, 143025; Tomsk, 634050
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