f-Oscillators and Nonlinear Coherent States
Add this Pith Number to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{CSV3C6MH}
Prints a linked pith:CSV3C6MH badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
The notion of f-oscillators generalizing q-oscillators is introduced. For classical and quantum cases, an interpretation of the f-oscillator is provided as corresponding to a special nonlinearity of vibration for which the frequency of oscillation depends on the energy. The f-coherent states (nonlinear coherent states) generalizing q-coherent states are constructed. Applied to quantum optics, photon distribution function, photon number means, and dispersions are calculated for the f-coherent states as well as the Wigner function and Q-function. As an example, it is shown how this nonlinearity may affect the Planck distribution formula.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
Squeezed-state radiation in shockwave scattering: QCD-Gravity double copy
The n-particle gluon radiation spectrum in shockwave scattering is a generalized Susskind-Glogower squeezed coherent state, and multi-graviton radiation follows similarly via double copy, with feasible large squeezing...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.