Seminars & Lectures
* TITLE | von Neumann's Hypothesis concerning Coherent States | ||||||
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* SPEAKERS | |||||||
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* HOST(Applicant) | |||||||
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* 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. |