Application of Fourier Slice Theorem in Wigner Operator Theory and New Complete Representation

2009 ◽  
Vol 52 (5) ◽  
pp. 829-831 ◽  
Author(s):  
Wang Tong-Tong ◽  
Fan Hong-Yi
Keyword(s):  
Operator Theory ◽  
Wigner Operator ◽  
Complete Representation ◽  
Slice Theorem ◽  
Fourier Slice Theorem

scholarly journals Robust Digital Image Reconstruction via the Discrete Fourier Slice Theorem

2014 ◽  
Vol 21 (6) ◽  
pp. 682-686 ◽  
Author(s):  
Shekhar S. Chandra ◽  
Nicolas Normand ◽  
Andrew Kingston ◽  
Jeanpierre Guedon ◽  
Imants Svalbe
Keyword(s):  
Image Reconstruction ◽  
Digital Image ◽  
Slice Theorem ◽  
Fourier Slice Theorem

scholarly journals Deprojection of Galaxies: How Much Can Be Learned?

1987 ◽  
Vol 127 ◽  
pp. 397-398 ◽  
Author(s):  
George B. Rybicki
Keyword(s):  
Symmetry Axis ◽  
Three Dimensional ◽  
Light Distribution ◽  
Axially Symmetric ◽  
Simple Criterion ◽  
Slice Theorem ◽  
Intrinsic Shape ◽  
Model Independent ◽  
Fourier Slice Theorem

A general discussion, based on the ht “Fourier Slice Theorem,” is given for the problem of deprojecting the observed light distribution of galaxies to obtain their intrinsic three dimensional light distribution or “shape.” Several results are obtained: 1) A model-independent deprojection of an axially symmetric galaxy is shown to be possible only if the symmetry axis lies in the plane of the sky. 2) A simple criterion is given to test whether two different galaxies can have the same intrinsic shape, based solely on their observed projections. 3) It is shown that a homogeneous class of galaxies can be deprojected using a sufficiently large number of projections of random perspective.

WEYL CORRESPONDENCE AND PATH INTEGRAL FOR TWO-MODE CORRELATED SYSTEM

1998 ◽  
Vol 13 (06) ◽  
pp. 433-439 ◽  
Author(s):  
HONG-YI FAN ◽  
YUE FAN
Keyword(s):  
Path Integral ◽  
Relative Position ◽  
Operator Theory ◽  
Total Momentum ◽  
Wigner Functions ◽  
Wigner Operator ◽  
Weyl Correspondence ◽  
The Common

The Weyl correspondence and Wigner operator theory for two-mode correlated system is developed on the common eigenstate basis <η| of two particles' total momentum and relative position. The development brings much convenience for calculating the Wigner functions of some two-mode correlated states and makes some Weyl correspondence derivation possible. Correspondingly, the path integral with midpoint prescription in <η| representation is also formulated.

A Fourier slice theorem for magnetic particle imaging using a field-free line

2011 ◽  
Vol 27 (9) ◽  
pp. 095004 ◽  
Author(s):  
T Knopp ◽  
M Erbe ◽  
T F Sattel ◽  
S Biederer ◽  
T M Buzug
Keyword(s):  
Magnetic Particle ◽  
Slice Theorem ◽  
Magnetic Particle Imaging ◽  
Particle Imaging ◽  
Fourier Slice Theorem
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