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* TITLE von Neumann's Hypothesis concerning Coherent States
* SPEAKERS
Name Affiliation E-mail
Prof. Joshua Zak Israel Institute of Technology
* HOST(Applicant)
Name Affiliation E-mail
-
* DATE / TIME 2004-04-30, 3:00 pm
* PLACE Gyoyang-dong, Room#201, POSTECH
* ABSTRACT
In his celebrated book " Mathematical Foundations of Quantum
Mechanics", von Neumann has constructed a set of coherent states on a
lattice in phase space. This set is complete and has the very attractive
feature of having a single state assigned to each unit cell of area h(the
Planck constant) of the lattice. A similar set of states was later
rediscovered by Dennis Gabor, the father of Holography. Properties of the
von Neumann-Gabor set are discussed in the framework of Quantum Mechanics
and Signal Processing.
 
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