Derivation of Generalized von Weizsäcker Kinetic Energies from Quasiprobability Distribution Functions

2011 ◽  
pp. 35-48 ◽  
Author(s):  
Debajit Chakraborty ◽  
Paul W. Ayers
Keyword(s):  
Distribution Functions ◽  
Quasiprobability Distribution

scholarly journals Quasiprobability distribution functions for periodic phase spaces: I. Theoretical aspects

2006 ◽  
Vol 39 (31) ◽  
pp. 9881-9890 ◽  
Author(s):  
M Ruzzi ◽  
M A Marchiolli ◽  
E C da Silva ◽  
D Galetti
Keyword(s):  
Distribution Functions ◽  
Quasiprobability Distribution

INFLUENCE OF SQUEEZING OPERATOR ON THE QUANTUM PROPERTIES OF VARIOUS BINOMIAL STATES

2001 ◽  
Vol 15 (01) ◽  
pp. 75-100 ◽  
Author(s):  
FAISAL A. A. EL-ORANY ◽  
M. SEBAWE ABDALLA ◽  
A-.S. F. OBADA ◽  
G. M. ABD AL-KADER
Keyword(s):  
Distribution Function ◽  
Correlation Function ◽  
Phase Distribution ◽  
Single Mode ◽  
Second Order ◽  
Distribution Functions ◽  
Quantum Properties ◽  
Quadrature Phase ◽  
Squeezing Operator ◽  
Quasiprobability Distribution

In this communication we investigate the action of a single-mode squeeze operator on the statistical behaviour of different binomial states. For the resulting states (squeezed generalized binomial states) normalized second-order correlation function, quasiprobability distribution functions and the distribution function P(x) associated with the quadrature x are studied both analytically and numerically. Furthermore, the quadrature phase distribution as well as the phase distribution in the framework of Pegg–Barnett formalism are discussed.

scholarly journals Reconstruction of quasiprobability distribution functions of the cavity field considering field and atomic decays

2017 ◽  
Vol 400 ◽  
pp. 69-73 ◽  
Author(s):  
N. Yazdanpanah ◽  
M.K. Tavassoly ◽  
R. Juárez-Amaro ◽  
H.M. Moya-Cessa
Keyword(s):  
Distribution Functions ◽  
Cavity Field ◽  
Quasiprobability Distribution

scholarly journals Quasiprobability Distribution Functions from Fractional Fourier Transforms

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 344 ◽  
Author(s):  
Jorge Anaya-Contreras ◽  
Arturo Zúñiga-Segundo ◽  
Héctor Moya-Cessa
Keyword(s):  
Fourier Transform ◽  
Characteristic Function ◽  
Fourier Transforms ◽  
Fractional Fourier Transform ◽  
Distribution Functions ◽  
Fractional Fourier Transforms ◽  
Fresnel Transform ◽  
Quasiprobability Distribution

We show, in a formal way, how a class of complex quasiprobability distribution functions may be introduced by using the fractional Fourier transform. This leads to the Fresnel transform of a characteristic function instead of the usual Fourier transform. We end the manuscript by showing a way in which the distribution we are introducing may be reconstructed by using atom-field interactions.

scholarly journals Maximally Entangled SU(1,1) Semi Coherent States

2021 ◽  
Author(s):  
A.-S. F. Obada ◽  
M. M. A. Ahmed ◽  
Hoda A. Ali ◽  
Somia Abd-Elnabi ◽  
S. Sanad
Keyword(s):  
Distribution Function ◽  
Correlation Function ◽  
Probability Distribution Function ◽  
Coherent States ◽  
Distribution Functions ◽  
Entangled States ◽  
Nonclassical Properties ◽  
Quadrature Squeezing ◽  
Maximally Entangled States ◽  
Quasiprobability Distribution

AbstractIn this paper, we consider a special type of maximally entangled states namely by entangled SU(1,1) semi coherent states by using SU(1,1) semi coherent states(SU(1,1) Semi CS). The entanglement characteristics of these entangled states are studied by evaluating the concurrence.We investigate some of their nonclassical properties,especially probability distribution function,second-order correlation function and quadrature squeezing . Further, the quasiprobability distribution functions (Q-functions) is discussed.

Computer processing of high-resolution images of periodic specimens

1986 ◽  
Vol 44 ◽  
pp. 2-5
Author(s):  
W. Chiu ◽  
M.F. Schmid ◽  
T.-W. Jeng
Keyword(s):  
High Resolution ◽  
Fourier Transforms ◽  
Complex Structure ◽  
Distribution Functions ◽  
Multiple Image ◽  
Cryo Electron Microscopy ◽  
Structure Factors ◽  
Unit Cells ◽  
High Resolution Images ◽  
Phase Probability Distribution

Cryo-electron microscopy has been developed to the point where one can image thin protein crystals to 3.5 Å resolution. In our study of the crotoxin complex crystal, we can confirm this structural resolution from optical diffractograms of the low dose images. To retrieve high resolution phases from images, we have to include as many unit cells as possible in order to detect the weak signals in the Fourier transforms of the image. Hayward and Stroud proposed to superimpose multiple image areas by combining phase probability distribution functions for each reflection. The reliability of their phase determination was evaluated in terms of a crystallographic “figure of merit”. Grant and co-workers used a different procedure to enhance the signals from multiple image areas by vector summation of the complex structure factors in reciprocal space.

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